3133031312100 has 144 divisors (see below), whose sum is σ = 9459944524800. Its totient is φ = 799072771200.

The previous prime is 3133031312057. The next prime is 3133031312161. The reversal of 3133031312100 is 12131303313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115209505 + ... + 115236695.

It is an arithmetic number, because the mean of its divisors is an integer number (65694059200).

Almost surely, 2^{3133031312100} is an apocalyptic number.

3133031312100 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 3133031312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729972262400).

3133031312100 is an abundant number, since it is smaller than the sum of its proper divisors (6326913212700).

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

3133031312100 is a wasteful number, since it uses less digits than its factorization.

3133031312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43930 (or 43923 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3133031312100 its reverse (12131303313), we get a palindrome (3145162615413).

The spelling of 3133031312100 in words is "three trillion, one hundred thirty-three billion, thirty-one million, three hundred twelve thousand, one hundred".