10313031102120 has 96 divisors (see below), whose sum is σ = 35488959990120. Its totient is φ = 2588368588800.

The previous prime is 10313031102097. The next prime is 10313031102163. The reversal of 10313031102120 is 2120113031301.

10313031102120 is a `hidden beast` number, since 1 + 0 + 313 + 0 + 311 + 0 + 21 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6719739324516 + 3593291777604 = 2592246^2 + 1895598^2 .

It is a super-2 number, since 2×10313031102120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10313031102093 and 10313031102102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842561781 + ... + 842574020.

Almost surely, 2^{10313031102120} is an apocalyptic number.

10313031102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313031102120 is an abundant number, since it is smaller than the sum of its proper divisors (25175928888000).

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

10313031102120 is a wasteful number, since it uses less digits than its factorization.

10313031102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685135835 (or 1685135828 counting only the distinct ones).

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

Adding to 10313031102120 its reverse (2120113031301), we get a palindrome (12433144133421).

The spelling of 10313031102120 in words is "ten trillion, three hundred thirteen billion, thirty-one million, one hundred two thousand, one hundred twenty".