3131144320 has 64 divisors (see below), whose sum is σ = 7925736600. Its totient is φ = 1178779648.

The previous prime is 3131144281. The next prime is 3131144321. The reversal of 3131144320 is 234411313.

It can be written as a sum of positive squares in 4 ways, for example, as 3111854656 + 19289664 = 55784^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3131144291 and 3131144300.

It is not an unprimeable number, because it can be changed into a prime (3131144321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 133015 + ... + 154774.

Almost surely, 2^3131144320 is an apocalyptic number.

It is an amenable number.

3131144320 is an abundant number, since it is smaller than the sum of its proper divisors (4794592280).

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

3131144320 is a wasteful number, since it uses less digits than its factorization.

3131144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287825 (or 287813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3131144320 is about 55956.6289191906. The cubic root of 3131144320 is about 1462.9664338338.

Adding to 3131144320 its reverse (234411313), we get a palindrome (3365555633).

The spelling of 3131144320 in words is "three billion, one hundred thirty-one million, one hundred forty-four thousand, three hundred twenty".