311113200 has 120 divisors (see below), whose sum is σ = 1006328448. Its totient is φ = 82154240.

The previous prime is 311113199. The next prime is 311113211. The reversal of 311113200 is 2311113.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 127189 + ... + 129611.

Almost surely, 2^311113200 is an apocalyptic number.

311113200 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 311113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503164224).

311113200 is an abundant number, since it is smaller than the sum of its proper divisors (695215248).

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

311113200 is a wasteful number, since it uses less digits than its factorization.

311113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311113200 is about 17638.4012880986. The cubic root of 311113200 is about 677.5990877344.

Adding to 311113200 its reverse (2311113), we get a palindrome (313424313).

The spelling of 311113200 in words is "three hundred eleven million, one hundred thirteen thousand, two hundred".