13000102122401 has 16 divisors (see below), whose sum is σ = 14734858910400. Its totient is φ = 11394957523968.

The previous prime is 13000102122391. The next prime is 13000102122419. The reversal of 13000102122401 is 10422120100031.

It is a cyclic number.

It is not a de Polignac number, because 13000102122401 - 2¹⁸ = 13000101860257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13000102122401.

It is not an unprimeable number, because it can be changed into a prime (13000102122431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341065640 + ... + 341103753.

It is an arithmetic number, because the mean of its divisors is an integer number (920928681900).

Almost surely, 2^{13000102122401} is an apocalyptic number.

It is an amenable number.

13000102122401 is a deficient number, since it is larger than the sum of its proper divisors (1734756787999).

13000102122401 is a wasteful number, since it uses less digits than its factorization.

13000102122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682169488.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13000102122401 its reverse (10422120100031), we get a palindrome (23422222222432).

The spelling of 13000102122401 in words is "thirteen trillion, one hundred two million, one hundred twenty-two thousand, four hundred one".