3133131288 has 128 divisors (see below), whose sum is σ = 9345592320. Its totient is φ = 856604160.

The previous prime is 3133131283. The next prime is 3133131289. The reversal of 3133131288 is 8821313313.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133131283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375045 + ... + 383307.

It is an arithmetic number, because the mean of its divisors is an integer number (73012440).

Almost surely, 2^3133131288 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 3133131288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672796160).

3133131288 is an abundant number, since it is smaller than the sum of its proper divisors (6212461032).

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

3133131288 is a wasteful number, since it uses less digits than its factorization.

3133131288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8373 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3133131288 is about 55974.3806397177. The cubic root of 3133131288 is about 1463.2758258139.

It can be divided in two parts, 3133 and 131288, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 3133131288 in words is "three billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred eighty-eight".