131102333010432 has 240 divisors, whose sum is σ = 447334241365440. Its totient is φ = 36166160572416.

The previous prime is 131102333010391. The next prime is 131102333010463. The reversal of 131102333010432 is 234010333201131.

131102333010432 is a `hidden beast` number, since 1 + 311 + 0 + 2 + 3 + 3 + 301 + 0 + 43 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131102333010396 and 131102333010405.

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, 69140998 + ... + 71011845.

It is an arithmetic number, because the mean of its divisors is an integer number (1863892672356).

Almost surely, 2^{131102333010432} is an apocalyptic number.

131102333010432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131102333010432 is an abundant number, since it is smaller than the sum of its proper divisors (316231908355008).

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

131102333010432 is a wasteful number, since it uses less digits than its factorization.

131102333010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140152903 (or 140152884 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131102333010432 its reverse (234010333201131), we get a palindrome (365112666211563).

The spelling of 131102333010432 in words is "one hundred thirty-one trillion, one hundred two billion, three hundred thirty-three million, ten thousand, four hundred thirty-two".