3131125120 has 128 divisors (see below), whose sum is σ = 7676071200. Its totient is φ = 1220935680.

The previous prime is 3131125091. The next prime is 3131125169. The reversal of 3131125120 is 215211313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5426272 + ... + 5426848.

Almost surely, 2^3131125120 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 3131125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838035600).

3131125120 is an abundant number, since it is smaller than the sum of its proper divisors (4544946080).

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

3131125120 is a wasteful number, since it uses less digits than its factorization.

3131125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 3131125120 is about 55956.4573574847. The cubic root of 3131125120 is about 1462.9634435518.

Adding to 3131125120 its reverse (215211313), we get a palindrome (3346336433).

The spelling of 3131125120 in words is "three billion, one hundred thirty-one million, one hundred twenty-five thousand, one hundred twenty".