13102031032313 has 8 divisors (see below), whose sum is σ = 13179518406120. Its totient is φ = 13024734750720.

The previous prime is 13102031032273. The next prime is 13102031032319. The reversal of 13102031032313 is 31323013020131.

It can be written as a sum of positive squares in 4 ways, for example, as 3369328238329 + 9732702793984 = 1835573^2 + 3119728^2 .

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 13102031032313 - 2²⁶ = 13101963923449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13102031032319) 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, 47635520 + ... + 47909777.

It is an arithmetic number, because the mean of its divisors is an integer number (1647439800765).

Almost surely, 2^{13102031032313} is an apocalyptic number.

It is an amenable number.

13102031032313 is a deficient number, since it is larger than the sum of its proper divisors (77487373807).

13102031032313 is an equidigital number, since it uses as much as digits as its factorization.

13102031032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95546107.

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

Adding to 13102031032313 its reverse (31323013020131), we get a palindrome (44425044052444).

The spelling of 13102031032313 in words is "thirteen trillion, one hundred two billion, thirty-one million, thirty-two thousand, three hundred thirteen".