10313064501120 has 192 divisors, whose sum is σ = 37486632877200. Its totient is φ = 2605405741056.

The previous prime is 10313064501053. The next prime is 10313064501163. The reversal of 10313064501120 is 2110546031301.

It is a happy number.

10313064501120 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 0 + 645 + 0 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 47007997 + ... + 47226876.

Almost surely, 2^{10313064501120} is an apocalyptic number.

10313064501120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313064501120 is an abundant number, since it is smaller than the sum of its proper divisors (27173568376080).

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

10313064501120 is a wasteful number, since it uses less digits than its factorization.

10313064501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94234917 (or 94234902 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10313064501120 in words is "ten trillion, three hundred thirteen billion, sixty-four million, five hundred one thousand, one hundred twenty".