3133013120 has 64 divisors (see below), whose sum is σ = 7522918200. Its totient is φ = 1247674368.

The previous prime is 3133013119. The next prime is 3133013129. The reversal of 3133013120 is 213103313.

It can be written as a sum of positive squares in 4 ways, for example, as 2502400576 + 630612544 = 50024^2 + 25112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3133013129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135872 + ... + 157248.

Almost surely, 2^3133013120 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 3133013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761459100).

3133013120 is an abundant number, since it is smaller than the sum of its proper divisors (4389905080).

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

3133013120 is a wasteful number, since it uses less digits than its factorization.

3133013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21625 (or 21613 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3133013120 is about 55973.3250754321. The cubic root of 3133013120 is about 1463.2574294626.

Adding to 3133013120 its reverse (213103313), we get a palindrome (3346116433).

The spelling of 3133013120 in words is "three billion, one hundred thirty-three million, thirteen thousand, one hundred twenty".