313121000 has 64 divisors (see below), whose sum is σ = 735330960. Its totient is φ = 124800000.

The previous prime is 313120981. The next prime is 313121041. The reversal of 313121000 is 121313.

313121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20232004 + 292888996 = 4498^2 + 17114^2 .

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, 520700 + ... + 521300.

Almost surely, 2^313121000 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 313121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367665480).

313121000 is an abundant number, since it is smaller than the sum of its proper divisors (422209960).

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

313121000 is a wasteful number, since it uses less digits than its factorization.

313121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 313121000 is about 17695.2253447081. The cubic root of 313121000 is about 679.0536142805.

Adding to 313121000 its reverse (121313), we get a palindrome (313242313).

The spelling of 313121000 in words is "three hundred thirteen million, one hundred twenty-one thousand".