311311900 has 36 divisors (see below), whose sum is σ = 704923632. Its totient is φ = 119109760.

The previous prime is 311311867. The next prime is 311311909. The reversal of 311311900 is 9113113.

It is a happy number.

311311900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×311311900² = 193830198163220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311311909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65377 + ... + 69976.

It is an arithmetic number, because the mean of its divisors is an integer number (19581212).

Almost surely, 2^311311900 is an apocalyptic number.

It is an amenable number.

311311900 is an abundant number, since it is smaller than the sum of its proper divisors (393611732).

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

311311900 is a wasteful number, since it uses less digits than its factorization.

311311900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135390 (or 135383 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 311311900 is about 17644.0329856867. The cubic root of 311311900 is about 677.7433120719.

The spelling of 311311900 in words is "three hundred eleven million, three hundred eleven thousand, nine hundred".