334001313 has 24 divisors (see below), whose sum is σ = 501228000. Its totient is φ = 222261408.

The previous prime is 334001303. The next prime is 334001333. The reversal of 334001313 is 313100433.

It is not a de Polignac number, because 334001313 - 2⁵ = 334001281 is a prime.

It is a super-4 number, since 4×334001313⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (334001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195738 + ... + 197436.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^334001313 is an apocalyptic number.

It is an amenable number.

334001313 is a deficient number, since it is larger than the sum of its proper divisors (167226687).

334001313 is an equidigital number, since it uses as much as digits as its factorization.

334001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 334001313 is about 18275.7028045435. The cubic root of 334001313 is about 693.8241165519.

Adding to 334001313 its reverse (313100433), we get a palindrome (647101746).

The spelling of 334001313 in words is "three hundred thirty-four million, one thousand, three hundred thirteen".