413103042433100 has 72 divisors (see below), whose sum is σ = 901381603051776. Its totient is φ = 164329632000000.

The previous prime is 413103042432989. The next prime is 413103042433129. The reversal of 413103042433100 is 1334240301314.

It is a happy number.

It is a super-2 number, since 2×413103042433100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64579100 + ... + 70687100.

Almost surely, 2^{413103042433100} 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 413103042433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450690801525888).

413103042433100 is an abundant number, since it is smaller than the sum of its proper divisors (488278560618676).

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

413103042433100 is a wasteful number, since it uses less digits than its factorization.

413103042433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111747 (or 6111740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 413103042433100 its reverse (1334240301314), we get a palindrome (414437282734414).

The spelling of 413103042433100 in words is "four hundred thirteen trillion, one hundred three billion, forty-two million, four hundred thirty-three thousand, one hundred".