311132103100 has 144 divisors (see below), whose sum is σ = 831301307200. Its totient is φ = 98427985920.

The previous prime is 311132103097. The next prime is 311132103127. The reversal of 311132103100 is 1301231113.

It is a super-2 number, since 2×311132103100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 28832506 + ... + 28843294.

Almost surely, 2^311132103100 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 311132103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415650653600).

311132103100 is an abundant number, since it is smaller than the sum of its proper divisors (520169204100).

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

311132103100 is a wasteful number, since it uses less digits than its factorization.

311132103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13992 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 311132103100 its reverse (1301231113), we get a palindrome (312433334213).

The spelling of 311132103100 in words is "three hundred eleven billion, one hundred thirty-two million, one hundred three thousand, one hundred".