13140311412131 has 2 divisors, whose sum is σ = 13140311412132. Its totient is φ = 13140311412130.

The previous prime is 13140311412119. The next prime is 13140311412143. The reversal of 13140311412131 is 13121411304131.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (13140311412119) and next prime (13140311412143).

It is a cyclic number.

It is not a de Polignac number, because 13140311412131 - 2¹⁴ = 13140311395747 is a prime.

It is a super-2 number, since 2×13140311412131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13140311412131.

It is not a weakly prime, because it can be changed into another prime (13140311412191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570155706065 + 6570155706066.

It is an arithmetic number, because the mean of its divisors is an integer number (6570155706066).

Almost surely, 2^{13140311412131} is an apocalyptic number.

13140311412131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140311412131 is an equidigital number, since it uses as much as digits as its factorization.

13140311412131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 13140311412131 its reverse (13121411304131), we get a palindrome (26261722716262).

The spelling of 13140311412131 in words is "thirteen trillion, one hundred forty billion, three hundred eleven million, four hundred twelve thousand, one hundred thirty-one".