100120012313 has 8 divisors (see below), whose sum is σ = 106012258920. Its totient is φ = 94228080640.

The previous prime is 100120012303. The next prime is 100120012357. The reversal of 100120012313 is 313210021001.

It can be written as a sum of positive squares in 4 ways, for example, as 17909933584 + 82210078729 = 133828^2 + 286723^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100120012313 - 2²² = 100115818009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120012303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991733 + ... + 1088013.

It is an arithmetic number, because the mean of its divisors is an integer number (13251532365).

Almost surely, 2^100120012313 is an apocalyptic number.

It is an amenable number.

100120012313 is a deficient number, since it is larger than the sum of its proper divisors (5892246607).

100120012313 is an equidigital number, since it uses as much as digits as its factorization.

100120012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157467.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100120012313 its reverse (313210021001), we get a palindrome (413330033314).

The spelling of 100120012313 in words is "one hundred billion, one hundred twenty million, twelve thousand, three hundred thirteen".