311323430100 has 144 divisors (see below), whose sum is σ = 914926315968. Its totient is φ = 81721436160.

The previous prime is 311323430087. The next prime is 311323430101. The reversal of 311323430100 is 1034323113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323430101) by changing a digit.

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, 6874732 + ... + 6919868.

It is an arithmetic number, because the mean of its divisors is an integer number (6353654972).

Almost surely, 2^311323430100 is an apocalyptic number.

311323430100 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 311323430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457463157984).

311323430100 is an abundant number, since it is smaller than the sum of its proper divisors (603602885868).

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

311323430100 is a wasteful number, since it uses less digits than its factorization.

311323430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45514 (or 45507 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 311323430100 its reverse (1034323113), we get a palindrome (312357753213).

The spelling of 311323430100 in words is "three hundred eleven billion, three hundred twenty-three million, four hundred thirty thousand, one hundred".