413135100 has 144 divisors (see below), whose sum is σ = 1517958400. Its totient is φ = 94426560.

The previous prime is 413135087. The next prime is 413135111. The reversal of 413135100 is 1531314.

It is a super-2 number, since 2×413135100² = 341361221704020000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7971 + ... + 29829.

Almost surely, 2^413135100 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 413135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758979200).

413135100 is an abundant number, since it is smaller than the sum of its proper divisors (1104823300).

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

413135100 is a wasteful number, since it uses less digits than its factorization.

413135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889 (or 21876 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 413135100 is about 20325.7250793176. The cubic root of 413135100 is about 744.7846171066.

Adding to 413135100 its reverse (1531314), we get a palindrome (414666414).

The spelling of 413135100 in words is "four hundred thirteen million, one hundred thirty-five thousand, one hundred".