313225311006 has 24 divisors (see below), whose sum is σ = 682099796664. Its totient is φ = 103878443760.

The previous prime is 313225310989. The next prime is 313225311019. The reversal of 313225311006 is 600113522313.

313225311006 is a `hidden beast` number, since 3 + 1 + 3 + 22 + 531 + 100 + 6 = 666.

It is a super-2 number, since 2×313225311006² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44162460 + ... + 44169551.

It is an arithmetic number, because the mean of its divisors is an integer number (28420824861).

Almost surely, 2^313225311006 is an apocalyptic number.

313225311006 is an abundant number, since it is smaller than the sum of its proper divisors (368874485658).

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

313225311006 is a wasteful number, since it uses less digits than its factorization.

313225311006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88332216 (or 88332213 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 313225311006 its reverse (600113522313), we get a palindrome (913338833319).

The spelling of 313225311006 in words is "three hundred thirteen billion, two hundred twenty-five million, three hundred eleven thousand, six".