13114334404401 has 48 divisors (see below), whose sum is σ = 18978326047296. Its totient is φ = 8027271189504.

The previous prime is 13114334404321. The next prime is 13114334404421. The reversal of 13114334404401 is 10440443341131.

It is not a de Polignac number, because 13114334404401 - 2¹⁰ = 13114334403377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13114334404421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34396725 + ... + 34775901.

It is an arithmetic number, because the mean of its divisors is an integer number (395381792652).

Almost surely, 2^{13114334404401} is an apocalyptic number.

It is an amenable number.

13114334404401 is a deficient number, since it is larger than the sum of its proper divisors (5863991642895).

13114334404401 is a wasteful number, since it uses less digits than its factorization.

13114334404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379598 (or 379551 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13114334404401 its reverse (10440443341131), we get a palindrome (23554777745532).

The spelling of 13114334404401 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, four hundred four thousand, four hundred one".