3133211120 has 80 divisors (see below), whose sum is σ = 7867413120. Its totient is φ = 1153585152.

The previous prime is 3133211119. The next prime is 3133211143. The reversal of 3133211120 is 211123313.

It is a tau number, because it is divible by the number of its divisors (80).

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, 377576 + ... + 385784.

It is an arithmetic number, because the mean of its divisors is an integer number (98342664).

Almost surely, 2^3133211120 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 3133211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933706560).

3133211120 is an abundant number, since it is smaller than the sum of its proper divisors (4734202000).

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

3133211120 is a wasteful number, since it uses less digits than its factorization.

3133211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3133211120 is about 55975.0937471301. The cubic root of 3133211120 is about 1463.2882537689.

Adding to 3133211120 its reverse (211123313), we get a palindrome (3344334433).

The spelling of 3133211120 in words is "three billion, one hundred thirty-three million, two hundred eleven thousand, one hundred twenty".