13312122121331 has 8 divisors (see below), whose sum is σ = 15023084526000. Its totient is φ = 11684621297440.

The previous prime is 13312122121307. The next prime is 13312122121349.

13312122121331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13312122121331 - 2⁶ = 13312122121267 is a prime.

It is a super-2 number, since 2×13312122121331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13312122121331.

It is not an unprimeable number, because it can be changed into a prime (13312122121301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20865394856 + ... + 20865395493.

It is an arithmetic number, because the mean of its divisors is an integer number (1877885565750).

Almost surely, 2^{13312122121331} is an apocalyptic number.

13312122121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312122121331 is a deficient number, since it is larger than the sum of its proper divisors (1710962404669).

13312122121331 is a wasteful number, since it uses less digits than its factorization.

13312122121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41730790389.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1331212 and 2121331, that added together give a palindrome (3452543).

The spelling of 13312122121331 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred thirty-one".