13400111431013 has 2 divisors, whose sum is σ = 13400111431014. Its totient is φ = 13400111431012.

The previous prime is 13400111430973. The next prime is 13400111431061. The reversal of 13400111431013 is 31013411100431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10782245678689 + 2617865752324 = 3283633^2 + 1617982^2 .

It is a cyclic number.

It is not a de Polignac number, because 13400111431013 - 2¹⁶ = 13400111365477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13400111431013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13400111431073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6700055715506 + 6700055715507.

It is an arithmetic number, because the mean of its divisors is an integer number (6700055715507).

Almost surely, 2^{13400111431013} is an apocalyptic number.

It is an amenable number.

13400111431013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13400111431013 is an equidigital number, since it uses as much as digits as its factorization.

13400111431013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13400111431013 its reverse (31013411100431), we get a palindrome (44413522531444).

The spelling of 13400111431013 in words is "thirteen trillion, four hundred billion, one hundred eleven million, four hundred thirty-one thousand, thirteen".