413100100313 has 8 divisors (see below), whose sum is σ = 419290959360. Its totient is φ = 406909982160.

The previous prime is 413100100289. The next prime is 413100100331. The reversal of 413100100313 is 313001001314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413100100313 - 2¹⁰ = 413100099289 is a prime.

It is a super-2 number, since 2×413100100313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413100100291 and 413100100300.

It is not an unprimeable number, because it can be changed into a prime (413100100513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994103 + ... + 1347011.

It is an arithmetic number, because the mean of its divisors is an integer number (52411369920).

Almost surely, 2^413100100313 is an apocalyptic number.

It is an amenable number.

413100100313 is a deficient number, since it is larger than the sum of its proper divisors (6190859047).

413100100313 is a wasteful number, since it uses less digits than its factorization.

413100100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370447.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 413100100313 its reverse (313001001314), we get a palindrome (726101101627).

The spelling of 413100100313 in words is "four hundred thirteen billion, one hundred million, one hundred thousand, three hundred thirteen".