413112400401311 has 32 divisors (see below), whose sum is σ = 446064720304896. Its totient is φ = 380329367040000.

The previous prime is 413112400401293. The next prime is 413112400401331. The reversal of 413112400401311 is 113104004211314.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413112400401311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413112400401331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42210314960 + ... + 42210324746.

It is an arithmetic number, because the mean of its divisors is an integer number (13939522509528).

Almost surely, 2^{413112400401311} is an apocalyptic number.

413112400401311 is a deficient number, since it is larger than the sum of its proper divisors (32952319903585).

413112400401311 is a wasteful number, since it uses less digits than its factorization.

413112400401311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 413112400401311 its reverse (113104004211314), we get a palindrome (526216404612625).

The spelling of 413112400401311 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, three hundred eleven".