130013321310000 has 300 divisors, whose sum is σ = 481420979654472. Its totient is φ = 32630793984000.

The previous prime is 130013321309999. The next prime is 130013321310007. The reversal of 130013321310000 is 13123310031.

It is a happy number.

130013321310000 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 3 + 321 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×130013321310000² (a number of 29 digits) contains 22 as substring.

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 (130013321310007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40958014 + ... + 44018013.

Almost surely, 2^{130013321310000} is an apocalyptic number.

130013321310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013321310000 is an abundant number, since it is smaller than the sum of its proper divisors (351407658344472).

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

130013321310000 is a wasteful number, since it uses less digits than its factorization.

130013321310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84976078 (or 84976054 counting only the distinct ones).

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

Adding to 130013321310000 its reverse (13123310031), we get a palindrome (130026444620031).

The spelling of 130013321310000 in words is "one hundred thirty trillion, thirteen billion, three hundred twenty-one million, three hundred ten thousand".