311243213100 has 144 divisors (see below), whose sum is σ = 958832380800. Its totient is φ = 77679313920.

The previous prime is 311243212997. The next prime is 311243213129. The reversal of 311243213100 is 1312342113.

It is a super-2 number, since 2×311243213100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742431 + ... + 1083369.

It is an arithmetic number, because the mean of its divisors is an integer number (6658558200).

Almost surely, 2^311243213100 is an apocalyptic number.

311243213100 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 311243213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479416190400).

311243213100 is an abundant number, since it is smaller than the sum of its proper divisors (647589167700).

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

311243213100 is a wasteful number, since it uses less digits than its factorization.

311243213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341152 (or 341145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 311243213100 its reverse (1312342113), we get a palindrome (312555555213).

The spelling of 311243213100 in words is "three hundred eleven billion, two hundred forty-three million, two hundred thirteen thousand, one hundred".