131333123110032 has 80 divisors (see below), whose sum is σ = 376976977336000. Its totient is φ = 43777443845376.

The previous prime is 131333123110027. The next prime is 131333123110037. The reversal of 131333123110032 is 230011321333131.

131333123110032 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 312 + 311 + 0 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (131333123110027) and next prime (131333123110037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131333123109978 and 131333123110005.

It is not an unprimeable number, because it can be changed into a prime (131333123110037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78875319 + ... + 80523177.

It is an arithmetic number, because the mean of its divisors is an integer number (4712212216700).

Almost surely, 2^{131333123110032} is an apocalyptic number.

131333123110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131333123110032 is an abundant number, since it is smaller than the sum of its proper divisors (245643854225968).

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

131333123110032 is a wasteful number, since it uses less digits than its factorization.

131333123110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832365 (or 1832353 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131333123110032 its reverse (230011321333131), we get a palindrome (361344444443163).

The spelling of 131333123110032 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred twenty-three million, one hundred ten thousand, thirty-two".