3133213231100 has 72 divisors (see below), whose sum is σ = 6948034339008. Its totient is φ = 1225859961600.

The previous prime is 3133213231091. The next prime is 3133213231103. The reversal of 3133213231100 is 11323123313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133213231103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7413074 + ... + 7824326.

Almost surely, 2^{3133213231100} 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 3133213231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474017169504).

3133213231100 is an abundant number, since it is smaller than the sum of its proper divisors (3814821107908).

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

3133213231100 is a wasteful number, since it uses less digits than its factorization.

3133213231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412935 (or 412928 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3133213231100 its reverse (11323123313), we get a palindrome (3144536354413).

The spelling of 3133213231100 in words is "three trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred".