13413000031431 has 192 divisors, whose sum is σ = 25211383303680. Its totient is φ = 6230565411840.

The previous prime is 13413000031421. The next prime is 13413000031441.

13413000031431 is nontrivially palindromic in base 10.

13413000031431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13413000031421) and next prime (13413000031441).

It is not a de Polignac number, because 13413000031431 - 2¹⁵ = 13412999998663 is a prime.

It is a super-2 number, since 2×13413000031431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413000031421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178073280 + ... + 178148586.

It is an arithmetic number, because the mean of its divisors is an integer number (131309288040).

Almost surely, 2^{13413000031431} is an apocalyptic number.

13413000031431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13413000031431 is a deficient number, since it is larger than the sum of its proper divisors (11798383272249).

13413000031431 is a wasteful number, since it uses less digits than its factorization.

13413000031431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75614 (or 75607 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 134130000 and 31431, that added together give a palindrome (134161431).

The spelling of 13413000031431 in words is "thirteen trillion, four hundred thirteen billion, thirty-one thousand, four hundred thirty-one".