13400010314101 has 2 divisors, whose sum is σ = 13400010314102. Its totient is φ = 13400010314100.

The previous prime is 13400010314063. The next prime is 13400010314113. The reversal of 13400010314101 is 10141301000431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11367315687025 + 2032694627076 = 3371545^2 + 1425726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13400010314101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13400010317101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6700005157050 + 6700005157051.

It is an arithmetic number, because the mean of its divisors is an integer number (6700005157051).

Almost surely, 2^{13400010314101} is an apocalyptic number.

It is an amenable number.

13400010314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13400010314101 is an equidigital number, since it uses as much as digits as its factorization.

13400010314101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13400010314101 its reverse (10141301000431), we get a palindrome (23541311314532).

The spelling of 13400010314101 in words is "thirteen trillion, four hundred billion, ten million, three hundred fourteen thousand, one hundred one".