13431144401 has 2 divisors, whose sum is σ = 13431144402. Its totient is φ = 13431144400.

The previous prime is 13431144343. The next prime is 13431144409. The reversal of 13431144401 is 10444113431.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11337990400 + 2093154001 = 106480^2 + 45751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13431144401 - 2²⁶ = 13364035537 is a prime.

It is not a weakly prime, because it can be changed into another prime (13431144409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6715572200 + 6715572201.

It is an arithmetic number, because the mean of its divisors is an integer number (6715572201).

Almost surely, 2^13431144401 is an apocalyptic number.

It is an amenable number.

13431144401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431144401 is an equidigital number, since it uses as much as digits as its factorization.

13431144401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13431144401 its reverse (10444113431), we get a palindrome (23875257832).

The spelling of 13431144401 in words is "thirteen billion, four hundred thirty-one million, one hundred forty-four thousand, four hundred one".