1013306624352 has 144 divisors (see below), whose sum is σ = 3248583211440. Its totient is φ = 307062581760.

The previous prime is 1013306624339. The next prime is 1013306624441. The reversal of 1013306624352 is 2534266033101.

1013306624352 is a `hidden beast` number, since 10 + 13 + 3 + 0 + 6 + 624 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4741773 + ... + 4950860.

It is an arithmetic number, because the mean of its divisors is an integer number (22559605635).

Almost surely, 2^{1013306624352} is an apocalyptic number.

1013306624352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013306624352 is an abundant number, since it is smaller than the sum of its proper divisors (2235276587088).

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

1013306624352 is a wasteful number, since it uses less digits than its factorization.

1013306624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692674 (or 9692649 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1013306624352 in words is "one trillion, thirteen billion, three hundred six million, six hundred twenty-four thousand, three hundred fifty-two".