413431112100 has 72 divisors (see below), whose sum is σ = 1196377524160. Its totient is φ = 110231383680.

The previous prime is 413431112051. The next prime is 413431112119. The reversal of 413431112100 is 1211134314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917561 + ... + 2122239.

Almost surely, 2^413431112100 is an apocalyptic number.

It is an amenable number.

413431112100 is an abundant number, since it is smaller than the sum of its proper divisors (782946412060).

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

413431112100 is a wasteful number, since it uses less digits than its factorization.

413431112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211429 (or 211422 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 413431112100 its reverse (1211134314), we get a palindrome (414642246414).

The spelling of 413431112100 in words is "four hundred thirteen billion, four hundred thirty-one million, one hundred twelve thousand, one hundred".