410100104013 has 48 divisors (see below), whose sum is σ = 575269718400. Its totient is φ = 259807000320.

The previous prime is 410100104009. The next prime is 410100104017. The reversal of 410100104013 is 310401001014.

It is an interprime number because it is at equal distance from previous prime (410100104009) and next prime (410100104017).

It is not a de Polignac number, because 410100104013 - 2² = 410100104009 is a prime.

It is a super-2 number, since 2×410100104013² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 410100103983 and 410100104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410100104017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127003683 + ... + 127006911.

It is an arithmetic number, because the mean of its divisors is an integer number (11984785800).

Almost surely, 2^410100104013 is an apocalyptic number.

It is an amenable number.

410100104013 is a deficient number, since it is larger than the sum of its proper divisors (165169614387).

410100104013 is a wasteful number, since it uses less digits than its factorization.

410100104013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 410100104013 its reverse (310401001014), we get a palindrome (720501105027).

The spelling of 410100104013 in words is "four hundred ten billion, one hundred million, one hundred four thousand, thirteen".