10113101220313 has 64 divisors (see below), whose sum is σ = 12904811200512. Its totient is φ = 7709500995840.

The previous prime is 10113101220223. The next prime is 10113101220319. The reversal of 10113101220313 is 31302210131101.

10113101220313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10113101220313 - 2¹⁷ = 10113101089241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10113101220319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1837740520 + ... + 1837746022.

It is an arithmetic number, because the mean of its divisors is an integer number (201637675008).

Almost surely, 2^{10113101220313} is an apocalyptic number.

10113101220313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10113101220313 is a deficient number, since it is larger than the sum of its proper divisors (2791709980199).

10113101220313 is a wasteful number, since it uses less digits than its factorization.

10113101220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294.

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

Adding to 10113101220313 its reverse (31302210131101), we get a palindrome (41415311351414).

The spelling of 10113101220313 in words is "ten trillion, one hundred thirteen billion, one hundred one million, two hundred twenty thousand, three hundred thirteen".