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13312210131 = 32113779179257
BaseRepresentation
bin11000110010111100…
…00011010011010011
31021100202021100020200
430121132003103103
5204230411211011
610040542510243
7650613630153
oct143136032323
937322240220
1013312210131
115711439560
1226b6295383
131341c8631c
14903dda763
1552da73856
hex3197834d3

13312210131 has 96 divisors (see below), whose sum is σ = 22023705600. Its totient is φ = 7677296640.

The previous prime is 13312210069. The next prime is 13312210157. The reversal of 13312210131 is 13101221331.

13312210131 is a `hidden beast` number, since 13 + 312 + 210 + 131 = 666.

13312210131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13312210131 - 214 = 13312193747 is a prime.

It is a super-2 number, since 2×133122101312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13312210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51798355 + ... + 51798611.

It is an arithmetic number, because the mean of its divisors is an integer number (229413600).

Almost surely, 213312210131 is an apocalyptic number.

13312210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312210131 is a deficient number, since it is larger than the sum of its proper divisors (8711495469).

13312210131 is a wasteful number, since it uses less digits than its factorization.

13312210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13312210131 its reverse (13101221331), we get a palindrome (26413431462).

The spelling of 13312210131 in words is "thirteen billion, three hundred twelve million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 37 79 99 111 179 237 257 333 407 537 711 771 869 1221 1611 1969 2313 2607 2827 2923 3663 5907 6623 7821 8481 8769 9509 14141 17721 19869 20303 25443 26307 28527 32153 42423 46003 59607 60909 72853 85581 96459 104599 127269 138009 155551 182727 218559 223333 289377 313797 414027 466653 506033 523217 655677 669999 751211 941391 1399959 1518099 1569651 1702111 2009997 2253633 3634237 4554297 4708953 5106333 5755387 6760899 8263321 10902711 15318999 17266161 18723221 24789963 32708133 39976607 51798483 56169663 74369889 119929821 134466769 168508989 359789463 403400307 1210200921 1479134459 4437403377 13312210131