13420288202431 has 16 divisors (see below), whose sum is σ = 14792260902048. Its totient is φ = 12073657190400.

The previous prime is 13420288202357. The next prime is 13420288202473.

13420288202431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13420288202431 - 2³⁵ = 13385928464063 is a prime.

It is a super-2 number, since 2×13420288202431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420288202231) 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, 15389691 + ... + 16238323.

It is an arithmetic number, because the mean of its divisors is an integer number (924516306378).

Almost surely, 2^{13420288202431} is an apocalyptic number.

13420288202431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13420288202431 is a deficient number, since it is larger than the sum of its proper divisors (1371972699617).

13420288202431 is a wasteful number, since it uses less digits than its factorization.

13420288202431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863562.

The product of its (nonzero) digits is 147456, while the sum is 40.

It can be divided in two parts, 1342028 and 8202431, that added together give a palindrome (9544459).

The spelling of 13420288202431 in words is "thirteen trillion, four hundred twenty billion, two hundred eighty-eight million, two hundred two thousand, four hundred thirty-one".