10120310313 has 16 divisors (see below), whose sum is σ = 14001225216. Its totient is φ = 6495390720.

The previous prime is 10120310311. The next prime is 10120310323. The reversal of 10120310313 is 31301302101.

It is not a de Polignac number, because 10120310313 - 2¹ = 10120310311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120310292 and 10120310301.

It is not an unprimeable number, because it can be changed into a prime (10120310311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 263970 + ... + 299867.

It is an arithmetic number, because the mean of its divisors is an integer number (875076576).

Almost surely, 2^10120310313 is an apocalyptic number.

It is an amenable number.

10120310313 is a deficient number, since it is larger than the sum of its proper divisors (3880914903).

10120310313 is a wasteful number, since it uses less digits than its factorization.

10120310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564064.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10120310313 its reverse (31301302101), we get a palindrome (41421612414).

The spelling of 10120310313 in words is "ten billion, one hundred twenty million, three hundred ten thousand, three hundred thirteen".