13700954190401 has 2 divisors, whose sum is σ = 13700954190402. Its totient is φ = 13700954190400.

The previous prime is 13700954190361. The next prime is 13700954190403. The reversal of 13700954190401 is 10409145900731.

It is a happy number.

It is a Cunningham number, because it is equal to 3701480²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13700954190400 + 1 = 3701480^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13700954190401 is a prime.

It is a super-2 number, since 2×13700954190401² (a number of 27 digits) contains 22 as substring.

Together with 13700954190403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13700954190403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6850477095200 + 6850477095201.

It is an arithmetic number, because the mean of its divisors is an integer number (6850477095201).

Almost surely, 2^{13700954190401} is an apocalyptic number.

It is an amenable number.

13700954190401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13700954190401 is an equidigital number, since it uses as much as digits as its factorization.

13700954190401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 13700954190401 in words is "thirteen trillion, seven hundred billion, nine hundred fifty-four million, one hundred ninety thousand, four hundred one".