13413200231431 has 32 divisors (see below), whose sum is σ = 18009832329216. Its totient is φ = 9647588160000.

The previous prime is 13413200231399. The next prime is 13413200231441.

13413200231431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13413200231431 - 2⁵ = 13413200231399 is a prime.

It is a super-2 number, since 2×13413200231431² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13413200231431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413200231441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40225311 + ... + 40557391.

It is an arithmetic number, because the mean of its divisors is an integer number (562807260288).

Almost surely, 2^{13413200231431} is an apocalyptic number.

13413200231431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13413200231431 is a deficient number, since it is larger than the sum of its proper divisors (4596632097785).

13413200231431 is a wasteful number, since it uses less digits than its factorization.

13413200231431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372463.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 13413200 and 231431, that added together give a palindrome (13644631).

The spelling of 13413200231431 in words is "thirteen trillion, four hundred thirteen billion, two hundred million, two hundred thirty-one thousand, four hundred thirty-one".