3133132320 has 96 divisors (see below), whose sum is σ = 9880774848. Its totient is φ = 834536448.

The previous prime is 3133132279. The next prime is 3133132393. The reversal of 3133132320 is 232313313.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475287 + ... + 481833.

It is an arithmetic number, because the mean of its divisors is an integer number (102924738).

Almost surely, 2^3133132320 is an apocalyptic number.

3133132320 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 3133132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940387424).

3133132320 is an abundant number, since it is smaller than the sum of its proper divisors (6747642528).

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

3133132320 is a wasteful number, since it uses less digits than its factorization.

3133132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3133132320 is about 55974.3898582200. The cubic root of 3133132320 is about 1463.2759864732.

Adding to 3133132320 its reverse (232313313), we get a palindrome (3365445633).

The spelling of 3133132320 in words is "three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".