313104132 has 72 divisors (see below), whose sum is σ = 876369312. Its totient is φ = 93456000.

The previous prime is 313104131. The next prime is 313104133. The reversal of 313104132 is 231401313.

It is an interprime number because it is at equal distance from previous prime (313104131) and next prime (313104133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313104131) 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, 20632 + ... + 32432.

It is an arithmetic number, because the mean of its divisors is an integer number (12171796).

Almost surely, 2^313104132 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 313104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438184656).

313104132 is an abundant number, since it is smaller than the sum of its proper divisors (563265180).

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

313104132 is a wasteful number, since it uses less digits than its factorization.

313104132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11889 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313104132 is about 17694.7487125418. The cubic root of 313104132 is about 679.0414203980.

Adding to 313104132 its reverse (231401313), we get a palindrome (544505445).

It can be divided in two parts, 313104 and 132, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 313104132 in words is "three hundred thirteen million, one hundred four thousand, one hundred thirty-two".