313211400 has 96 divisors (see below), whose sum is σ = 1028103840. Its totient is φ = 78607360.

The previous prime is 313211377. The next prime is 313211411. The reversal of 313211400 is 4112313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313211400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5154 + ... + 25553.

It is an arithmetic number, because the mean of its divisors is an integer number (10709415).

Almost surely, 2^313211400 is an apocalyptic number.

313211400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514051920).

313211400 is an abundant number, since it is smaller than the sum of its proper divisors (714892440).

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

313211400 is a wasteful number, since it uses less digits than its factorization.

313211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30743 (or 30734 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313211400 is about 17697.7795217366. The cubic root of 313211400 is about 679.1189570076.

Adding to 313211400 its reverse (4112313), we get a palindrome (317323713).

The spelling of 313211400 in words is "three hundred thirteen million, two hundred eleven thousand, four hundred".