13264420401 has 12 divisors (see below), whose sum is σ = 19182191028. Its totient is φ = 8832574944.

The previous prime is 13264420387. The next prime is 13264420427. The reversal of 13264420401 is 10402446231.

It is a happy number.

13264420401 is a `hidden beast` number, since 13 + 2 + 644 + 2 + 0 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7612388001 + 5652032400 = 87249^2 + 75180^2 .

It is not a de Polignac number, because 13264420401 - 2⁵ = 13264420369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13264420441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856230 + ... + 871583.

It is an arithmetic number, because the mean of its divisors is an integer number (1598515919).

Almost surely, 2^13264420401 is an apocalyptic number.

It is an amenable number.

13264420401 is a deficient number, since it is larger than the sum of its proper divisors (5917770627).

13264420401 is a wasteful number, since it uses less digits than its factorization.

13264420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728672 (or 1728669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13264420401 its reverse (10402446231), we get a palindrome (23666866632).

The spelling of 13264420401 in words is "thirteen billion, two hundred sixty-four million, four hundred twenty thousand, four hundred one".