13036401 has 48 divisors (see below), whose sum is σ = 22713600. Its totient is φ = 7197120.

The previous prime is 13036379. The next prime is 13036409. The reversal of 13036401 is 10463031.

13036401 = 120³ + 121³ + ... + 126³.

It is not a de Polignac number, because 13036401 - 2⁵ = 13036369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13036409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126516 + ... + 126618.

It is an arithmetic number, because the mean of its divisors is an integer number (473200).

Almost surely, 2^13036401 is an apocalyptic number.

It is an amenable number.

13036401 is a deficient number, since it is larger than the sum of its proper divisors (9677199).

13036401 is a wasteful number, since it uses less digits than its factorization.

13036401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13036401 is about 3610.5956572289. The cubic root of 13036401 is about 235.3527281847.

Adding to 13036401 its reverse (10463031), we get a palindrome (23499432).

The spelling of 13036401 in words is "thirteen million, thirty-six thousand, four hundred one".