413100223300 has 144 divisors (see below), whose sum is σ = 937720607040. Its totient is φ = 157802688000.

The previous prime is 413100223267. The next prime is 413100223309. The reversal of 413100223300 is 3322001314.

It is not an unprimeable number, because it can be changed into a prime (413100223309) 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, 205419295 + ... + 205421305.

It is an arithmetic number, because the mean of its divisors is an integer number (6511948660).

Almost surely, 2^413100223300 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 413100223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468860303520).

413100223300 is an abundant number, since it is smaller than the sum of its proper divisors (524620383740).

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

413100223300 is a wasteful number, since it uses less digits than its factorization.

413100223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 413100223300 its reverse (3322001314), we get a palindrome (416422224614).

The spelling of 413100223300 in words is "four hundred thirteen billion, one hundred million, two hundred twenty-three thousand, three hundred".