13342600624331 has 16 divisors (see below), whose sum is σ = 14740075968000. Its totient is φ = 11975882724000.

The previous prime is 13342600624289. The next prime is 13342600624351.

13342600624331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13342600624331 - 2¹⁸ = 13342600362187 is a prime.

It is a super-2 number, since 2×13342600624331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13342600624351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67595681 + ... + 67792781.

It is an arithmetic number, because the mean of its divisors is an integer number (921254748000).

Almost surely, 2^{13342600624331} is an apocalyptic number.

13342600624331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13342600624331 is a deficient number, since it is larger than the sum of its proper divisors (1397475343669).

13342600624331 is a wasteful number, since it uses less digits than its factorization.

13342600624331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275090.

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 13342600 and 624331, that added together give a palindrome (13966931).

The spelling of 13342600624331 in words is "thirteen trillion, three hundred forty-two billion, six hundred million, six hundred twenty-four thousand, three hundred thirty-one".