311312100 has 144 divisors (see below), whose sum is σ = 1016809920. Its totient is φ = 72844800.

The previous prime is 311312081. The next prime is 311312101. The reversal of 311312100 is 1213113.

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

It is not an unprimeable number, because it can be changed into a prime (311312101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94074 + ... + 97326.

It is an arithmetic number, because the mean of its divisors is an integer number (7061180).

Almost surely, 2^311312100 is an apocalyptic number.

311312100 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 311312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508404960).

311312100 is an abundant number, since it is smaller than the sum of its proper divisors (705497820).

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

311312100 is a wasteful number, since it uses less digits than its factorization.

311312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3303 counting only the distinct ones).

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

The square root of 311312100 is about 17644.0386533242. The cubic root of 311312100 is about 677.7434572089.

Adding to 311312100 its reverse (1213113), we get a palindrome (312525213).

It can be divided in two parts, 31 and 1312100, that added together give a palindrome (1312131).

The spelling of 311312100 in words is "three hundred eleven million, three hundred twelve thousand, one hundred".