131311102131 has 64 divisors (see below), whose sum is σ = 219711744000. Its totient is φ = 76777424640.

The previous prime is 131311102121. The next prime is 131311102151. The reversal of 131311102131 is 131201113131.

131311102131 is a `hidden beast` number, since 131 + 311 + 10 + 213 + 1 = 666.

It is not a de Polignac number, because 131311102131 - 2⁵ = 131311102099 is a prime.

It is a super-2 number, since 2×131311102131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131311102121) 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 63 ways as a sum of consecutive naturals, for example, 12337110 + ... + 12347748.

It is an arithmetic number, because the mean of its divisors is an integer number (3432996000).

Almost surely, 2^131311102131 is an apocalyptic number.

131311102131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131311102131 is a deficient number, since it is larger than the sum of its proper divisors (88400641869).

131311102131 is a wasteful number, since it uses less digits than its factorization.

131311102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131311102131 its reverse (131201113131), we get a palindrome (262512215262).

The spelling of 131311102131 in words is "one hundred thirty-one billion, three hundred eleven million, one hundred two thousand, one hundred thirty-one".