313233312 has 48 divisors (see below), whose sum is σ = 939701952. Its totient is φ = 89495040.

The previous prime is 313233311. The next prime is 313233337. The reversal of 313233312 is 213332313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313233311) 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, 232389 + ... + 233732.

It is an arithmetic number, because the mean of its divisors is an integer number (19577124).

Almost surely, 2^313233312 is an apocalyptic number.

313233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313233312 is an abundant number, since it is smaller than the sum of its proper divisors (626468640).

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

313233312 is a wasteful number, since it uses less digits than its factorization.

313233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466141 (or 466133 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 313233312 is about 17698.3985716222. The cubic root of 313233312 is about 679.1347934976.

Adding to 313233312 its reverse (213332313), we get a palindrome (526565625).

Subtracting from 313233312 its reverse (213332313), we obtain a palindrome (99900999).

The spelling of 313233312 in words is "three hundred thirteen million, two hundred thirty-three thousand, three hundred twelve".