10120313313 has 24 divisors (see below), whose sum is σ = 16479976800. Its totient is φ = 6133521240.

The previous prime is 10120313303. The next prime is 10120313323. The reversal of 10120313313 is 31331302101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10120313303) and next prime (10120313323).

It is not a de Polignac number, because 10120313313 - 2¹⁰ = 10120312289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120313303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545603 + ... + 1552136.

It is an arithmetic number, because the mean of its divisors is an integer number (686665700).

Almost surely, 2^10120313313 is an apocalyptic number.

It is an amenable number.

10120313313 is a deficient number, since it is larger than the sum of its proper divisors (6359663487).

10120313313 is a wasteful number, since it uses less digits than its factorization.

10120313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097770 (or 3097753 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10120313313 its reverse (31331302101), we get a palindrome (41451615414).

The spelling of 10120313313 in words is "ten billion, one hundred twenty million, three hundred thirteen thousand, three hundred thirteen".