13142222224131 has 288 divisors, whose sum is σ = 24437990304000. Its totient is φ = 6221778393600.

The previous prime is 13142222224111. The next prime is 13142222224169.

13142222224131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13142222224131 - 2¹⁰ = 13142222223107 is a prime.

It is a super-2 number, since 2×13142222224131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142222224111) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6167160936 + ... + 6167163066.

It is an arithmetic number, because the mean of its divisors is an integer number (84854133000).

Almost surely, 2^{13142222224131} is an apocalyptic number.

13142222224131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13142222224131 is a deficient number, since it is larger than the sum of its proper divisors (11295768079869).

13142222224131 is a wasteful number, since it uses less digits than its factorization.

13142222224131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2493 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1314222 and 2224131, that added together give a palindrome (3538353).

The spelling of 13142222224131 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, one hundred thirty-one".