10313431332120 has 192 divisors, whose sum is σ = 38308294440000. Its totient is φ = 2357277963264.

The previous prime is 10313431332073. The next prime is 10313431332131. The reversal of 10313431332120 is 2123313431301.

10313431332120 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 4 + 313 + 321 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115746946 + ... + 115836014.

It is an arithmetic number, because the mean of its divisors is an integer number (199522366875).

Almost surely, 2^{10313431332120} is an apocalyptic number.

10313431332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313431332120 is an abundant number, since it is smaller than the sum of its proper divisors (27994863107880).

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

10313431332120 is a wasteful number, since it uses less digits than its factorization.

10313431332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135042 (or 135035 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10313431332120 its reverse (2123313431301), we get a palindrome (12436744763421).

The spelling of 10313431332120 in words is "ten trillion, three hundred thirteen billion, four hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty".