313213005 has 96 divisors (see below), whose sum is σ = 664934400. Its totient is φ = 133197696.

The previous prime is 313213003. The next prime is 313213013. The reversal of 313213005 is 500312313.

It is not a de Polignac number, because 313213005 - 2¹ = 313213003 is a prime.

It is a super-2 number, since 2×313213005² = 196204773002260050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352672 + ... + 353558.

It is an arithmetic number, because the mean of its divisors is an integer number (6926400).

Almost surely, 2^313213005 is an apocalyptic number.

313213005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313213005 is an abundant number, since it is smaller than the sum of its proper divisors (351721395).

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

313213005 is a wasteful number, since it uses less digits than its factorization.

313213005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 313213005 is about 17697.8248663501. The cubic root of 313213005 is about 679.1201170165.

Adding to 313213005 its reverse (500312313), we get a palindrome (813525318).

The spelling of 313213005 in words is "three hundred thirteen million, two hundred thirteen thousand, five".