10102401313 has 2 divisors, whose sum is σ = 10102401314. Its totient is φ = 10102401312.

The previous prime is 10102401247. The next prime is 10102401347. The reversal of 10102401313 is 31310420101.

10102401313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5419462689 + 4682938624 = 73617^2 + 68432^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102401313 - 2²⁵ = 10068846881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102401383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051200656 + 5051200657.

It is an arithmetic number, because the mean of its divisors is an integer number (5051200657).

Almost surely, 2^10102401313 is an apocalyptic number.

It is an amenable number.

10102401313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102401313 is an equidigital number, since it uses as much as digits as its factorization.

10102401313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102401313 its reverse (31310420101), we get a palindrome (41412821414).

The spelling of 10102401313 in words is "ten billion, one hundred two million, four hundred one thousand, three hundred thirteen".