10114220312313 has 96 divisors (see below), whose sum is σ = 15306379939200. Its totient is φ = 5904816952320.

The previous prime is 10114220312303. The next prime is 10114220312369. The reversal of 10114220312313 is 31321302241101.

It is not a de Polignac number, because 10114220312313 - 2⁴ = 10114220312297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114220312303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2493027381 + ... + 2493031437.

It is an arithmetic number, because the mean of its divisors is an integer number (159441457700).

Almost surely, 2^{10114220312313} is an apocalyptic number.

10114220312313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10114220312313 is a deficient number, since it is larger than the sum of its proper divisors (5192159626887).

10114220312313 is a wasteful number, since it uses less digits than its factorization.

10114220312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10114220312313 its reverse (31321302241101), we get a palindrome (41435522553414).

The spelling of 10114220312313 in words is "ten trillion, one hundred fourteen billion, two hundred twenty million, three hundred twelve thousand, three hundred thirteen".