13401333310431 has 96 divisors (see below), whose sum is σ = 21390461164800. Its totient is φ = 7375575029760.

The previous prime is 13401333310429. The next prime is 13401333310439.

13401333310431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13401333310431 - 2¹ = 13401333310429 is a prime.

It is a super-2 number, since 2×13401333310431² (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 (13401333310439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744964785 + ... + 744982773.

It is an arithmetic number, because the mean of its divisors is an integer number (222817303800).

Almost surely, 2^{13401333310431} is an apocalyptic number.

13401333310431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13401333310431 is a deficient number, since it is larger than the sum of its proper divisors (7989127854369).

13401333310431 is a wasteful number, since it uses less digits than its factorization.

13401333310431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19657 (or 19628 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 1340133 and 3310431, that added together give a palindrome (4650564).

The spelling of 13401333310431 in words is "thirteen trillion, four hundred one billion, three hundred thirty-three million, three hundred ten thousand, four hundred thirty-one".