13642011024631 has 32 divisors (see below), whose sum is σ = 16210804866048. Its totient is φ = 11340890595840.

The previous prime is 13642011024611. The next prime is 13642011024667.

13642011024631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13642011024631 - 2⁴¹ = 11442987769079 is a prime.

It is a super-2 number, since 2×13642011024631² (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 (13642011024611) 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 31 ways as a sum of consecutive naturals, for example, 5660971 + ... + 7702636.

It is an arithmetic number, because the mean of its divisors is an integer number (506587652064).

Almost surely, 2^{13642011024631} is an apocalyptic number.

13642011024631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13642011024631 is a deficient number, since it is larger than the sum of its proper divisors (2568793841417).

13642011024631 is a wasteful number, since it uses less digits than its factorization.

13642011024631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13363791.

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 1364201 and 1024631, that added together give a palindrome (2388832).

The spelling of 13642011024631 in words is "thirteen trillion, six hundred forty-two billion, eleven million, twenty-four thousand, six hundred thirty-one".