131023013121 has 192 divisors, whose sum is σ = 271271669760. Its totient is φ = 58677696000.

The previous prime is 131023013111. The next prime is 131023013137. The reversal of 131023013121 is 121310320131.

131023013121 is a `hidden beast` number, since 1 + 310 + 2 + 301 + 31 + 21 = 666.

It is not a de Polignac number, because 131023013121 - 2¹⁵ = 131022980353 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131023013094 and 131023013103.

It is not an unprimeable number, because it can be changed into a prime (131023013111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12147751 + ... + 12158531.

It is an arithmetic number, because the mean of its divisors is an integer number (1412873280).

Almost surely, 2^131023013121 is an apocalyptic number.

131023013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131023013121 is an abundant number, since it is smaller than the sum of its proper divisors (140248656639).

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

131023013121 is a wasteful number, since it uses less digits than its factorization.

131023013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10905 counting only the distinct ones).

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

Adding to 131023013121 its reverse (121310320131), we get a palindrome (252333333252).

The spelling of 131023013121 in words is "one hundred thirty-one billion, twenty-three million, thirteen thousand, one hundred twenty-one".