130264531350912 has 1600 divisors, whose sum is σ = 463797255860400. Its totient is φ = 36280995545088.

The previous prime is 130264531350851. The next prime is 130264531350913. The reversal of 130264531350912 is 219053135462031.

130264531350912 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 64 + 531 + 3 + 50 + 9 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130264531350913) 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 199 ways as a sum of consecutive naturals, for example, 176271354639 + ... + 176271355377.

Almost surely, 2^{130264531350912} is an apocalyptic number.

130264531350912 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 130264531350912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231898627930200).

130264531350912 is an abundant number, since it is smaller than the sum of its proper divisors (333532724509488).

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

130264531350912 is an frugal number, since it uses more digits than its factorization.

130264531350912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 130264531350912 in words is "one hundred thirty trillion, two hundred sixty-four billion, five hundred thirty-one million, three hundred fifty thousand, nine hundred twelve".