130012301000320 has 64 divisors (see below), whose sum is σ = 310989183958440. Its totient is φ = 51975049236480.

The previous prime is 130012301000317. The next prime is 130012301000327. The reversal of 130012301000320 is 23000103210031.

It can be written as a sum of positive squares in 4 ways, for example, as 34095976358976 + 95916324641344 = 5839176^2 + 9793688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×130012301000320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130012301000294 and 130012301000303.

It is not an unprimeable number, because it can be changed into a prime (130012301000327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57227007 + ... + 59455486.

Almost surely, 2^{130012301000320} is an apocalyptic number.

130012301000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130012301000320 is an abundant number, since it is smaller than the sum of its proper divisors (180976882958120).

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

130012301000320 is a wasteful number, since it uses less digits than its factorization.

130012301000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116684253 (or 116684241 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 130012301000320 its reverse (23000103210031), we get a palindrome (153012404210351).

The spelling of 130012301000320 in words is "one hundred thirty trillion, twelve billion, three hundred one million, three hundred twenty", and thus it is an aban number.