13131120111131 has 24 divisors (see below), whose sum is σ = 14447081376000. Its totient is φ = 11926054659200.

The previous prime is 13131120111121. The next prime is 13131120111167. The reversal of 13131120111131 is 13111102113131.

It is not a de Polignac number, because 13131120111131 - 2²⁶ = 13131053002267 is a prime.

It is a super-2 number, since 2×13131120111131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131120111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859977965 + ... + 859993233.

It is an arithmetic number, because the mean of its divisors is an integer number (601961724000).

Almost surely, 2^{13131120111131} is an apocalyptic number.

13131120111131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131120111131 is a deficient number, since it is larger than the sum of its proper divisors (1315961264869).

13131120111131 is a wasteful number, since it uses less digits than its factorization.

13131120111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21571 (or 21560 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 13131120111131 its reverse (13111102113131), we get a palindrome (26242222224262).

The spelling of 13131120111131 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred thirty-one".