13401000414157 has 2 divisors, whose sum is σ = 13401000414158. Its totient is φ = 13401000414156.

The previous prime is 13401000414107. The next prime is 13401000414223. The reversal of 13401000414157 is 75141400010431.

13401000414157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13151748853156 + 249251561001 = 3626534^2 + 499251^2 .

It is an emirp because it is prime and its reverse (75141400010431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13401000414157 - 2¹⁹ = 13400999889869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13401000414107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6700500207078 + 6700500207079.

It is an arithmetic number, because the mean of its divisors is an integer number (6700500207079).

Almost surely, 2^{13401000414157} is an apocalyptic number.

It is an amenable number.

13401000414157 is a deficient number, since it is larger than the sum of its proper divisors (1).

13401000414157 is an equidigital number, since it uses as much as digits as its factorization.

13401000414157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 13401000414157 its reverse (75141400010431), we get a palindrome (88542400424588).

The spelling of 13401000414157 in words is "thirteen trillion, four hundred one billion, four hundred fourteen thousand, one hundred fifty-seven".