13431456456401 has 2 divisors, whose sum is σ = 13431456456402. Its totient is φ = 13431456456400.

The previous prime is 13431456456329. The next prime is 13431456456437. The reversal of 13431456456401 is 10465465413431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8579767407376 + 4851689049025 = 2929124^2 + 2202655^2 .

It is a cyclic number.

It is not a de Polignac number, because 13431456456401 - 2²² = 13431452262097 is a prime.

It is a super-2 number, since 2×13431456456401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13431456456601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6715728228200 + 6715728228201.

It is an arithmetic number, because the mean of its divisors is an integer number (6715728228201).

Almost surely, 2^{13431456456401} is an apocalyptic number.

It is an amenable number.

13431456456401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431456456401 is an equidigital number, since it uses as much as digits as its factorization.

13431456456401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 13431456456401 in words is "thirteen trillion, four hundred thirty-one billion, four hundred fifty-six million, four hundred fifty-six thousand, four hundred one".