13031431341401 has 12 divisors (see below), whose sum is σ = 14324015212500. Its totient is φ = 11846581655040.

The previous prime is 13031431341391. The next prime is 13031431341433. The reversal of 13031431341401 is 10414313413031.

It can be written as a sum of positive squares in 2 ways, for example, as 12079440851401 + 951990490000 = 3475549^2 + 975700^2 .

It is not a de Polignac number, because 13031431341401 - 2¹⁸ = 13031431079257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031431340401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7865345 + ... + 9376913.

It is an arithmetic number, because the mean of its divisors is an integer number (1193667934375).

Almost surely, 2^{13031431341401} is an apocalyptic number.

13031431341401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13031431341401 is a deficient number, since it is larger than the sum of its proper divisors (1292583871099).

13031431341401 is a wasteful number, since it uses less digits than its factorization.

13031431341401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582840 (or 1582829 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 13031431341401 its reverse (10414313413031), we get a palindrome (23445744754432).

The spelling of 13031431341401 in words is "thirteen trillion, thirty-one billion, four hundred thirty-one million, three hundred forty-one thousand, four hundred one".