311130120100 has 36 divisors (see below), whose sum is σ = 675380405700. Its totient is φ = 124410012160.

The previous prime is 311130120079. The next prime is 311130120181. The reversal of 311130120100 is 1021031113.

It can be written as a sum of positive squares in 6 ways, for example, as 110719900516 + 200410219584 = 332746^2 + 447672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227065 + ... + 820864.

It is an arithmetic number, because the mean of its divisors is an integer number (18760566825).

Almost surely, 2^311130120100 is an apocalyptic number.

It is an amenable number.

311130120100 is an abundant number, since it is smaller than the sum of its proper divisors (364250285600).

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

311130120100 is a wasteful number, since it uses less digits than its factorization.

311130120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050912 (or 1050905 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 311130120100 its reverse (1021031113), we get a palindrome (312151151213).

The spelling of 311130120100 in words is "three hundred eleven billion, one hundred thirty million, one hundred twenty thousand, one hundred".