104013310401 has 48 divisors (see below), whose sum is σ = 201722801280. Its totient is φ = 49876508160.

The previous prime is 104013310399. The next prime is 104013310403.

104013310401 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (104013310399) and next prime (104013310403).

It is not a de Polignac number, because 104013310401 - 2¹ = 104013310399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104013310403) 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, 5763736 + ... + 5781753.

It is an arithmetic number, because the mean of its divisors is an integer number (4202558360).

Almost surely, 2^104013310401 is an apocalyptic number.

104013310401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104013310401 is a deficient number, since it is larger than the sum of its proper divisors (97709490879).

104013310401 is a wasteful number, since it uses less digits than its factorization.

104013310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11545526 (or 11545523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 104013 and 310401, that added together give a palindrome (414414).

The spelling of 104013310401 in words is "one hundred four billion, thirteen million, three hundred ten thousand, four hundred one".