13256430346401 has 16 divisors (see below), whose sum is σ = 19362758676480. Its totient is φ = 8000584304720.

The previous prime is 13256430346387. The next prime is 13256430346417. The reversal of 13256430346401 is 10464303465231.

It is a cyclic number.

It is not a de Polignac number, because 13256430346401 - 2²⁵ = 13256396791969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13256430346421) 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, 840389625 + ... + 840405398.

It is an arithmetic number, because the mean of its divisors is an integer number (1210172417280).

Almost surely, 2^{13256430346401} is an apocalyptic number.

13256430346401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13256430346401 is a deficient number, since it is larger than the sum of its proper divisors (6106328330079).

13256430346401 is a wasteful number, since it uses less digits than its factorization.

13256430346401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680795276.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 13256430346401 in words is "thirteen trillion, two hundred fifty-six billion, four hundred thirty million, three hundred forty-six thousand, four hundred one".