10113120120313 has 6 divisors (see below), whose sum is σ = 11764241772666. Its totient is φ = 8668388674512.

The previous prime is 10113120120211. The next prime is 10113120120317. The reversal of 10113120120313 is 31302102131101.

It can be written as a sum of positive squares in only one way, i.e., 5278561390144 + 4834558730169 = 2297512^2 + 2198763^2 .

It is not a de Polignac number, because 10113120120313 - 2⁹ = 10113120119801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113120120317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103195103220 + ... + 103195103317.

It is an arithmetic number, because the mean of its divisors is an integer number (1960706962111).

Almost surely, 2^{10113120120313} is an apocalyptic number.

It is an amenable number.

10113120120313 is a deficient number, since it is larger than the sum of its proper divisors (1651121652353).

10113120120313 is an equidigital number, since it uses as much as digits as its factorization.

10113120120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206390206551 (or 206390206544 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10113120120313 its reverse (31302102131101), we get a palindrome (41415222251414).

The spelling of 10113120120313 in words is "ten trillion, one hundred thirteen billion, one hundred twenty million, one hundred twenty thousand, three hundred thirteen".