131213133000 has 96 divisors (see below), whose sum is σ = 443500419960. Its totient is φ = 34990166400.

The previous prime is 131213132993. The next prime is 131213133059. The reversal of 131213133000 is 331312131.

It is a happy number.

131213133000 is a `hidden beast` number, since 1 + 31 + 21 + 313 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79940776644 + 51272356356 = 282738^2 + 226434^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7280619 + ... + 7298618.

Almost surely, 2^131213133000 is an apocalyptic number.

131213133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213133000 is an abundant number, since it is smaller than the sum of its proper divisors (312287286960).

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

131213133000 is a wasteful number, since it uses less digits than its factorization.

131213133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579264 (or 14579247 counting only the distinct ones).

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

Adding to 131213133000 its reverse (331312131), we get a palindrome (131544445131).

The spelling of 131213133000 in words is "one hundred thirty-one billion, two hundred thirteen million, one hundred thirty-three thousand".