413020301312 has 96 divisors (see below), whose sum is σ = 835924471200. Its totient is φ = 203999330304.

The previous prime is 413020301293. The next prime is 413020301329. The reversal of 413020301312 is 213103020314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83050058 + ... + 83055030.

It is an arithmetic number, because the mean of its divisors is an integer number (8707546575).

Almost surely, 2^413020301312 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 413020301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417962235600).

413020301312 is an abundant number, since it is smaller than the sum of its proper divisors (422904169888).

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

413020301312 is a wasteful number, since it uses less digits than its factorization.

413020301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413020301312 its reverse (213103020314), we get a palindrome (626123321626).

The spelling of 413020301312 in words is "four hundred thirteen billion, twenty million, three hundred one thousand, three hundred twelve".