313114000 has 80 divisors (see below), whose sum is σ = 773450496. Its totient is φ = 122544000.

The previous prime is 313113989. The next prime is 313114013. The reversal of 313114000 is 411313.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92335 + ... + 95665.

Almost surely, 2^313114000 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 313114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386725248).

313114000 is an abundant number, since it is smaller than the sum of its proper divisors (460336496).

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

313114000 is a wasteful number, since it uses less digits than its factorization.

313114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 313114000 is about 17695.0275501340. The cubic root of 313114000 is about 679.0485540315.

Adding to 313114000 its reverse (411313), we get a palindrome (313525313).

The spelling of 313114000 in words is "three hundred thirteen million, one hundred fourteen thousand".