413301313100 has 108 divisors (see below), whose sum is σ = 973711178496. Its totient is φ = 152202735360.

The previous prime is 413301313097. The next prime is 413301313111. The reversal of 413301313100 is 1313103314.

It is a super-2 number, since 2×413301313100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6440774 + ... + 6504626.

Almost surely, 2^413301313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413301313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486855589248).

413301313100 is an abundant number, since it is smaller than the sum of its proper divisors (560409865396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413301313100 is a wasteful number, since it uses less digits than its factorization.

413301313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64276 (or 64256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 413301313100 its reverse (1313103314), we get a palindrome (414614416414).

The spelling of 413301313100 in words is "four hundred thirteen billion, three hundred one million, three hundred thirteen thousand, one hundred".