130312111020300 has 864 divisors, whose sum is σ = 458165003063040. Its totient is φ = 30712852684800.

The previous prime is 130312111020281. The next prime is 130312111020319. The reversal of 130312111020300 is 3020111213031.

130312111020300 is a `hidden beast` number, since 1 + 30 + 312 + 1 + 1 + 1 + 0 + 20 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (130312111020281) and next prime (130312111020319).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37958667384 + ... + 37958670816.

It is an arithmetic number, because the mean of its divisors is an integer number (530283568360).

Almost surely, 2^{130312111020300} is an apocalyptic number.

130312111020300 is a gapful number since it is divisible by the number (10) 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 130312111020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229082501531520).

130312111020300 is an abundant number, since it is smaller than the sum of its proper divisors (327852892042740).

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

130312111020300 is a wasteful number, since it uses less digits than its factorization.

130312111020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4253 counting only the distinct ones).

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

Adding to 130312111020300 its reverse (3020111213031), we get a palindrome (133332222233331).

The spelling of 130312111020300 in words is "one hundred thirty trillion, three hundred twelve billion, one hundred eleven million, twenty thousand, three hundred".