10102330312313 has 8 divisors (see below), whose sum is σ = 10268100928200. Its totient is φ = 9936564814080.

The previous prime is 10102330312309. The next prime is 10102330312331. The reversal of 10102330312313 is 31321303320101.

It can be written as a sum of positive squares in 4 ways, for example, as 939044335849 + 9163285976464 = 969043^2 + 3027092^2 .

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 10102330312313 - 2² = 10102330312309 is a prime.

It is a super-2 number, since 2×10102330312313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102330314313) 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, 2807231 + ... + 5299547.

It is an arithmetic number, because the mean of its divisors is an integer number (1283512616025).

Almost surely, 2^{10102330312313} is an apocalyptic number.

It is an amenable number.

10102330312313 is a deficient number, since it is larger than the sum of its proper divisors (165770615887).

10102330312313 is an equidigital number, since it uses as much as digits as its factorization.

10102330312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558827.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10102330312313 its reverse (31321303320101), we get a palindrome (41423633632414).

The spelling of 10102330312313 in words is "ten trillion, one hundred two billion, three hundred thirty million, three hundred twelve thousand, three hundred thirteen".