130310013312 has 96 divisors (see below), whose sum is σ = 375244580880. Its totient is φ = 43406097408.

The previous prime is 130310013311. The next prime is 130310013331. The reversal of 130310013312 is 213310013031.

It is a happy number.

130310013312 is a `hidden beast` number, since 1 + 30 + 310 + 0 + 13 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130310013311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627858 + ... + 1706030.

Almost surely, 2^130310013312 is an apocalyptic number.

130310013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130310013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187622290440).

130310013312 is an abundant number, since it is smaller than the sum of its proper divisors (244934567568).

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

130310013312 is a wasteful number, since it uses less digits than its factorization.

130310013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79640 (or 79625 counting only the distinct ones).

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

Adding to 130310013312 its reverse (213310013031), we get a palindrome (343620026343).

The spelling of 130310013312 in words is "one hundred thirty billion, three hundred ten million, thirteen thousand, three hundred twelve".