413001321 has 8 divisors (see below), whose sum is σ = 552973440. Its totient is φ = 274181712.

The previous prime is 413001311. The next prime is 413001331. The reversal of 413001321 is 123100314.

It is an interprime number because it is at equal distance from previous prime (413001311) and next prime (413001331).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413001321 - 2²⁵ = 379446889 is a prime.

It is a super-2 number, since 2×413001321² = 341140182295490082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413001321.

It is not an unprimeable number, because it can be changed into a prime (413001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287290 + ... + 288723.

It is an arithmetic number, because the mean of its divisors is an integer number (69121680).

Almost surely, 2^413001321 is an apocalyptic number.

It is an amenable number.

413001321 is a deficient number, since it is larger than the sum of its proper divisors (139972119).

413001321 is a wasteful number, since it uses less digits than its factorization.

413001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576255.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413001321 is about 20322.4339339558. The cubic root of 413001321 is about 744.7042178234.

Adding to 413001321 its reverse (123100314), we get a palindrome (536101635).

The spelling of 413001321 in words is "four hundred thirteen million, one thousand, three hundred twenty-one".