13013422401 has 40 divisors (see below), whose sum is σ = 20284169760. Its totient is φ = 7420719936.

The previous prime is 13013422393. The next prime is 13013422441. The reversal of 13013422401 is 10422431031.

It is not a de Polignac number, because 13013422401 - 2³ = 13013422393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13013422441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4053685 + ... + 4056893.

It is an arithmetic number, because the mean of its divisors is an integer number (507104244).

Almost surely, 2^13013422401 is an apocalyptic number.

It is an amenable number.

13013422401 is a deficient number, since it is larger than the sum of its proper divisors (7270747359).

13013422401 is an frugal number, since it uses more digits than its factorization.

13013422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13013422401 its reverse (10422431031), we get a palindrome (23435853432).

The spelling of 13013422401 in words is "thirteen billion, thirteen million, four hundred twenty-two thousand, four hundred one".