13531202401 has 32 divisors (see below), whose sum is σ = 14356114848. Its totient is φ = 12740198400.

The previous prime is 13531202383. The next prime is 13531202449. The reversal of 13531202401 is 10420213531.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1649984400 + 11881218001 = 40620^2 + 109001^2 .

It is a 5-Lehmer number, since φ(13531202401) divides (13531202401-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 13531202401 - 2⁷ = 13531202273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13531202801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52650465 + ... + 52650721.

It is an arithmetic number, because the mean of its divisors is an integer number (448628589).

Almost surely, 2^13531202401 is an apocalyptic number.

It is an amenable number.

13531202401 is a deficient number, since it is larger than the sum of its proper divisors (824912447).

13531202401 is a wasteful number, since it uses less digits than its factorization.

13531202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13531202401 its reverse (10420213531), we get a palindrome (23951415932).

The spelling of 13531202401 in words is "thirteen billion, five hundred thirty-one million, two hundred two thousand, four hundred one".