413012321100 has 216 divisors, whose sum is σ = 1367405591552. Its totient is φ = 104104828800.

The previous prime is 413012321093. The next prime is 413012321171. The reversal of 413012321100 is 1123210314.

413012321100 is a `hidden beast` number, since 41 + 301 + 2 + 321 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1027569 + ... + 1371831.

Almost surely, 2^413012321100 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 413012321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683702795776).

413012321100 is an abundant number, since it is smaller than the sum of its proper divisors (954393270452).

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

413012321100 is a wasteful number, since it uses less digits than its factorization.

413012321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344357 (or 344347 counting only the distinct ones).

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

Adding to 413012321100 its reverse (1123210314), we get a palindrome (414135531414).

The spelling of 413012321100 in words is "four hundred thirteen billion, twelve million, three hundred twenty-one thousand, one hundred".