3133013332224 has 144 divisors (see below), whose sum is σ = 8612051196672. Its totient is φ = 1010516527104.

The previous prime is 3133013332177. The next prime is 3133013332271. The reversal of 3133013332224 is 4222333103313.

It is an interprime number because it is at equal distance from previous prime (3133013332177) and next prime (3133013332271).

It is a junction number, because it is equal to n+sod(n) for n = 3133013332191 and 3133013332200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090247 + ... + 3976889.

It is an arithmetic number, because the mean of its divisors is an integer number (59805911088).

Almost surely, 2^{3133013332224} 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 3133013332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306025598336).

3133013332224 is an abundant number, since it is smaller than the sum of its proper divisors (5479037864448).

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

3133013332224 is a wasteful number, since it uses less digits than its factorization.

3133013332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886812 (or 886798 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 3133013332224 its reverse (4222333103313), we get a palindrome (7355346435537).

The spelling of 3133013332224 in words is "three trillion, one hundred thirty-three billion, thirteen million, three hundred thirty-two thousand, two hundred twenty-four".