131332031001000 has 96 divisors (see below), whose sum is σ = 443902264813800. Its totient is φ = 35021874931200.

The previous prime is 131332031000977. The next prime is 131332031001001. The reversal of 131332031001000 is 100130233131.

It is a happy number.

131332031001000 is a `hidden beast` number, since 1 + 31 + 3 + 320 + 310 + 0 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13968652101156 + 117363378899844 = 3737466^2 + 10833438^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131332031001001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7296214945 + ... + 7296232944.

Almost surely, 2^{131332031001000} is an apocalyptic number.

131332031001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131332031001000 is an abundant number, since it is smaller than the sum of its proper divisors (312570233812800).

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

131332031001000 is a wasteful number, since it uses less digits than its factorization.

131332031001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14592447916 (or 14592447899 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131332031001000 its reverse (100130233131), we get a palindrome (131432161234131).

The spelling of 131332031001000 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, thirty-one million, one thousand".