3133123131320 has 256 divisors, whose sum is σ = 9056631306240. Its totient is φ = 948149250048.

The previous prime is 3133123131319. The next prime is 3133123131349. The reversal of 3133123131320 is 231313213313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3133123131320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396242807 + ... + 396250713.

It is an arithmetic number, because the mean of its divisors is an integer number (35377466040).

Almost surely, 2^{3133123131320} 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 3133123131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528315653120).

3133123131320 is an abundant number, since it is smaller than the sum of its proper divisors (5923508174920).

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

3133123131320 is a wasteful number, since it uses less digits than its factorization.

3133123131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12694 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 3133123131320 its reverse (231313213313), we get a palindrome (3364436344633).

The spelling of 3133123131320 in words is "three trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty".