131102132010120 has 96 divisors (see below), whose sum is σ = 426565564490520. Its totient is φ = 34920885626880.

The previous prime is 131102132010107. The next prime is 131102132010149. The reversal of 131102132010120 is 21010231201131.

131102132010120 is a `hidden beast` number, since 1 + 311 + 0 + 2 + 1 + 320 + 10 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94374968643684 + 36727163366436 = 9714678^2 + 6060294^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131102132010093 and 131102132010102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206364219 + ... + 206998538.

Almost surely, 2^{131102132010120} is an apocalyptic number.

131102132010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102132010120 is an abundant number, since it is smaller than the sum of its proper divisors (295463432480400).

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

131102132010120 is a wasteful number, since it uses less digits than its factorization.

131102132010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413363655 (or 413363648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131102132010120 its reverse (21010231201131), we get a palindrome (152112363211251).

The spelling of 131102132010120 in words is "one hundred thirty-one trillion, one hundred two billion, one hundred thirty-two million, ten thousand, one hundred twenty".