13133222233131 has 256 divisors, whose sum is σ = 24955297726464. Its totient is φ = 5923445760000.

The previous prime is 13133222233129. The next prime is 13133222233141.

13133222233131 is nontrivially palindromic in base 10.

13133222233131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13133222233131 - 2¹ = 13133222233129 is a prime.

It is a super-2 number, since 2×13133222233131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13133222233121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1034349975 + ... + 1034362671.

It is an arithmetic number, because the mean of its divisors is an integer number (97481631744).

Almost surely, 2^{13133222233131} is an apocalyptic number.

13133222233131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133222233131 is a deficient number, since it is larger than the sum of its proper divisors (11822075493333).

13133222233131 is a wasteful number, since it uses less digits than its factorization.

13133222233131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13074.

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

It can be divided in two parts, 1313322 and 2233131, that added together give a palindrome (3546453).

The spelling of 13133222233131 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred thirty-one".