3132113100 has 144 divisors (see below), whose sum is σ = 9433458720. Its totient is φ = 801382400.

The previous prime is 3132113093. The next prime is 3132113143. The reversal of 3132113100 is 13112313.

It is a super-3 number, since 3×3132113100³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3132113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504060 + ... + 1506140.

It is an arithmetic number, because the mean of its divisors is an integer number (65510130).

Almost surely, 2^3132113100 is an apocalyptic number.

3132113100 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 3132113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716729360).

3132113100 is an abundant number, since it is smaller than the sum of its proper divisors (6301345620).

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

3132113100 is a wasteful number, since it uses less digits than its factorization.

3132113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3132113100 is about 55965.2847754749. The cubic root of 3132113100 is about 1463.1172994951.

Adding to 3132113100 its reverse (13112313), we get a palindrome (3145225413).

The spelling of 3132113100 in words is "three billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred".