13402300320431 has 8 divisors (see below), whose sum is σ = 15092326460928. Its totient is φ = 11790880047000.

The previous prime is 13402300320427. The next prime is 13402300320433.

13402300320431 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13402300320431 - 2² = 13402300320427 is a prime.

It is a super-2 number, since 2×13402300320431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13402300320431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402300320433) 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 7 ways as a sum of consecutive naturals, for example, 19651466405 + ... + 19651467086.

It is an arithmetic number, because the mean of its divisors is an integer number (1886540807616).

Almost surely, 2^{13402300320431} is an apocalyptic number.

13402300320431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13402300320431 is a deficient number, since it is larger than the sum of its proper divisors (1690026140497).

13402300320431 is a wasteful number, since it uses less digits than its factorization.

13402300320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39302933533.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 13402300 and 320431, that added together give a palindrome (13722731).

The spelling of 13402300320431 in words is "thirteen trillion, four hundred two billion, three hundred million, three hundred twenty thousand, four hundred thirty-one".