13140311304131 has 16 divisors (see below), whose sum is σ = 14346452090880. Its totient is φ = 11936101341120.

The previous prime is 13140311303993. The next prime is 13140311304137.

13140311304131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13140311304131 - 2³⁴ = 13123131434947 is a prime.

It is a super-2 number, since 2×13140311304131² (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 13140311304131.

It is not an unprimeable number, because it can be changed into a prime (13140311304137) 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, 92107151 + ... + 92249703.

It is an arithmetic number, because the mean of its divisors is an integer number (896653255680).

Almost surely, 2^{13140311304131} is an apocalyptic number.

13140311304131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13140311304131 is a deficient number, since it is larger than the sum of its proper divisors (1206140786749).

13140311304131 is a wasteful number, since it uses less digits than its factorization.

13140311304131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149266.

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

It can be divided in two parts, 1314031 and 1304131, that added together give a palindrome (2618162).

The spelling of 13140311304131 in words is "thirteen trillion, one hundred forty billion, three hundred eleven million, three hundred four thousand, one hundred thirty-one".