313142232 has 128 divisors (see below), whose sum is σ = 889963200. Its totient is φ = 91133952.

The previous prime is 313142231. The next prime is 313142233. The reversal of 313142232 is 232241313.

It is an interprime number because it is at equal distance from previous prime (313142231) and next prime (313142233).

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

It is a junction number, because it is equal to n+sod(n) for n = 313142199 and 313142208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313142231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479218 + ... + 479870.

Almost surely, 2^313142232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444981600).

313142232 is an abundant number, since it is smaller than the sum of its proper divisors (576820968).

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

313142232 is a wasteful number, since it uses less digits than its factorization.

313142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 313142232 is about 17695.8252703851. The cubic root of 313142232 is about 679.0689622775.

Adding to 313142232 its reverse (232241313), we get a palindrome (545383545).

The spelling of 313142232 in words is "three hundred thirteen million, one hundred forty-two thousand, two hundred thirty-two".