130312100100312 has 96 divisors (see below), whose sum is σ = 380095606472400. Its totient is φ = 40094063555328.

The previous prime is 130312100100257. The next prime is 130312100100317. The reversal of 130312100100312 is 213001001213031.

130312100100312 is a `hidden beast` number, since 1 + 30 + 312 + 1 + 0 + 0 + 10 + 0 + 312 = 666.

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 (130312100100317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15729514 + ... + 22539782.

Almost surely, 2^{130312100100312} is an apocalyptic number.

130312100100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130312100100312 is an abundant number, since it is smaller than the sum of its proper divisors (249783506372088).

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

130312100100312 is a wasteful number, since it uses less digits than its factorization.

130312100100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830737 (or 6830730 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130312100100312 its reverse (213001001213031), we get a palindrome (343313101313343).

The spelling of 130312100100312 in words is "one hundred thirty trillion, three hundred twelve billion, one hundred million, one hundred thousand, three hundred twelve".