131013012330 has 128 divisors (see below), whose sum is σ = 351748915200. Its totient is φ = 34699217472.

The previous prime is 131013012307. The next prime is 131013012331. The reversal of 131013012330 is 33210310131.

It is a happy number.

131013012330 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 301 + 2 + 330 = 666.

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 (131013012331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71865799 + ... + 71867621.

It is an arithmetic number, because the mean of its divisors is an integer number (2748038400).

Almost surely, 2^131013012330 is an apocalyptic number.

131013012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131013012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175874457600).

131013012330 is an abundant number, since it is smaller than the sum of its proper divisors (220735902870).

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

131013012330 is a wasteful number, since it uses less digits than its factorization.

131013012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3499 counting only the distinct ones).

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

Adding to 131013012330 its reverse (33210310131), we get a palindrome (164223322461).

The spelling of 131013012330 in words is "one hundred thirty-one billion, thirteen million, twelve thousand, three hundred thirty".