413313220323132 has 48 divisors (see below), whose sum is σ = 1015156857536640. Its totient is φ = 130519761227712.

The previous prime is 413313220323067. The next prime is 413313220323139. The reversal of 413313220323132 is 231323022313314.

It is a junction number, because it is equal to n+sod(n) for n = 413313220323093 and 413313220323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413313220323139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224929678 + ... + 226759754.

It is an arithmetic number, because the mean of its divisors is an integer number (21149101198680).

Almost surely, 2^{413313220323132} is an apocalyptic number.

It is an amenable number.

413313220323132 is an abundant number, since it is smaller than the sum of its proper divisors (601843637213508).

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

413313220323132 is a wasteful number, since it uses less digits than its factorization.

413313220323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820650 (or 2820648 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 413313220323132 its reverse (231323022313314), we get a palindrome (644636242636446).

The spelling of 413313220323132 in words is "four hundred thirteen trillion, three hundred thirteen billion, two hundred twenty million, three hundred twenty-three thousand, one hundred thirty-two".