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1331321114130 = 235767103918653
BaseRepresentation
bin10011010111111000111…
…011000000111000010010
311201021101001112220111020
4103113320323000320102
5133303021201123010
62455333411500310
7165120243520050
oct23277073007022
94637331486436
101331321114130
11473679074887
121960288b7696
139870a0aaa77
144861724d1d0
152496da10470
hex135f8ec0e12

1331321114130 has 128 divisors (see below), whose sum is σ = 3742111346688. Its totient is φ = 296849532672.

The previous prime is 1331321114107. The next prime is 1331321114141. The reversal of 1331321114130 is 314111231331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331321114130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989884 + ... + 1908536.

It is an arithmetic number, because the mean of its divisors is an integer number (29235244896).

Almost surely, 21331321114130 is an apocalyptic number.

1331321114130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331321114130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871055673344).

1331321114130 is an abundant number, since it is smaller than the sum of its proper divisors (2410790232558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331321114130 is a wasteful number, since it uses less digits than its factorization.

1331321114130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918840.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1331321114130 its reverse (314111231331), we get a palindrome (1645432345461).

The spelling of 1331321114130 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 103 105 134 201 206 210 309 335 402 469 515 618 670 721 938 1005 1030 1407 1442 1545 2010 2163 2345 2814 3090 3605 4326 4690 6901 7035 7210 10815 13802 14070 20703 21630 34505 41406 48307 69010 96614 103515 144921 207030 241535 289842 483070 724605 918653 1449210 1837306 2755959 4593265 5511918 6430571 9186530 12861142 13779795 19291713 27559590 32152855 38583426 61549751 64305710 94621259 96458565 123099502 184649253 189242518 192917130 283863777 307748755 369298506 430848257 473106295 567727554 615497510 662348813 861696514 923246265 946212590 1292544771 1324697626 1419318885 1846492530 1987046439 2154241285 2585089542 2838637770 3311744065 3974092878 4308482570 6339624353 6462723855 6623488130 9935232195 12679248706 12925447710 19018873059 19870464390 31698121765 38037746118 44377370471 63396243530 88754740942 95094365295 133132111413 190188730590 221886852355 266264222826 443773704710 665660557065 1331321114130