130031024253312 has 512 divisors, whose sum is σ = 442561656499200. Its totient is φ = 32900407787520.

The previous prime is 130031024253301. The next prime is 130031024253337. The reversal of 130031024253312 is 213352420130031.

It is a self number, because there is not a number n which added to its sum of digits gives 130031024253312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158691387 + ... + 159508677.

It is an arithmetic number, because the mean of its divisors is an integer number (864378235350).

Almost surely, 2^{130031024253312} is an apocalyptic number.

130031024253312 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 130031024253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221280828249600).

130031024253312 is an abundant number, since it is smaller than the sum of its proper divisors (312530632245888).

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

130031024253312 is a wasteful number, since it uses less digits than its factorization.

130031024253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817514 (or 817502 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 130031024253312 its reverse (213352420130031), we get a palindrome (343383444383343).

The spelling of 130031024253312 in words is "one hundred thirty trillion, thirty-one billion, twenty-four million, two hundred fifty-three thousand, three hundred twelve".