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1310132121111 = 341124713212153
BaseRepresentation
bin10011000100001001111…
…101011010111000010111
311122020200100201112110000
4103010021331122320113
5132431122310333421
62441511050102343
7163440203200152
oct23041175327027
94566610645400
101310132121111
11465695477800
12191ab471a9b3
1396711293988
14475a70a0c99
152412d6d0226
hex13109f5ae17

1310132121111 has 120 divisors (see below), whose sum is σ = 2199659216832. Its totient is φ = 776176473600.

The previous prime is 1310132121037. The next prime is 1310132121127. The reversal of 1310132121111 is 1111212310131.

1310132121111 is a `hidden beast` number, since 1 + 310 + 1 + 321 + 21 + 1 + 11 = 666.

It is not a de Polignac number, because 1310132121111 - 214 = 1310132104727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310132121191) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 608513611 + ... + 608515763.

Almost surely, 21310132121111 is an apocalyptic number.

1310132121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310132121111 is a deficient number, since it is larger than the sum of its proper divisors (889527095721).

1310132121111 is a wasteful number, since it uses less digits than its factorization.

1310132121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1310132121111 its reverse (1111212310131), we get a palindrome (2421344431242).

The spelling of 1310132121111 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 47 81 99 121 141 297 363 423 517 891 1089 1269 1321 1551 2153 3267 3807 3963 4653 5687 6459 9801 11889 13959 14531 17061 19377 23683 35667 41877 43593 51183 58131 62087 71049 101191 107001 130779 153549 159841 174393 186261 213147 260513 303573 392337 460647 479523 558783 639441 682957 781539 910719 1113101 1177011 1438569 1676349 1918323 2048871 2344617 2732157 2844113 3339303 4315707 5029047 6146613 7033851 7512527 8196471 8532339 10017909 12244111 12947121 18439839 21101553 22537581 25597017 30053727 31285243 36732333 55319517 67612743 76791051 90161181 93855729 110196999 133673311 202838229 230373153 281567187 330590997 344137673 401019933 608514687 844701561 991772991 1032413019 1203059799 1470406421 2534104683 3097239057 3609179397 4411219263 9291717171 10827538191 13233657789 16174470631 27875151513 39700973367 48523411893 119102920101 145570235679 436710707037 1310132121111