311223000100 has 144 divisors (see below), whose sum is σ = 761791867200. Its totient is φ = 109661368320.

The previous prime is 311223000097. The next prime is 311223000131. The reversal of 311223000100 is 1000322113.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2622856 + ... + 2738944.

It is an arithmetic number, because the mean of its divisors is an integer number (5290221300).

Almost surely, 2^311223000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311223000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380895933600).

311223000100 is an abundant number, since it is smaller than the sum of its proper divisors (450568867100).

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

311223000100 is a wasteful number, since it uses less digits than its factorization.

311223000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116222 (or 116215 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 311223000100 its reverse (1000322113), we get a palindrome (312223322213).

The spelling of 311223000100 in words is "three hundred eleven billion, two hundred twenty-three million, one hundred", and thus it is an aban number.