10102031122313 has 4 divisors (see below), whose sum is σ = 10879110439428. Its totient is φ = 9324951805200.

The previous prime is 10102031122247. The next prime is 10102031122361. The reversal of 10102031122313 is 31322113020101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4098810800704 + 6003220321609 = 2024552^2 + 2450147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102031122313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102031127313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 388539658538 + ... + 388539658563.

It is an arithmetic number, because the mean of its divisors is an integer number (2719777609857).

Almost surely, 2^{10102031122313} is an apocalyptic number.

10102031122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102031122313 is a deficient number, since it is larger than the sum of its proper divisors (777079317115).

10102031122313 is an equidigital number, since it uses as much as digits as its factorization.

10102031122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777079317114.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10102031122313 its reverse (31322113020101), we get a palindrome (41424144142414).

The spelling of 10102031122313 in words is "ten trillion, one hundred two billion, thirty-one million, one hundred twenty-two thousand, three hundred thirteen".