3203132131100 has 144 divisors (see below), whose sum is σ = 7610214227616. Its totient is φ = 1160552448000.

The previous prime is 3203132131093. The next prime is 3203132131151. The reversal of 3203132131100 is 11312313023.

3203132131100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 658942670 + ... + 658947530.

It is an arithmetic number, because the mean of its divisors is an integer number (52848709914).

Almost surely, 2^{3203132131100} 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 3203132131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805107113808).

3203132131100 is an abundant number, since it is smaller than the sum of its proper divisors (4407082096516).

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

3203132131100 is a wasteful number, since it uses less digits than its factorization.

3203132131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3203132131100 its reverse (11312313023), we get a palindrome (3214444444123).

The spelling of 3203132131100 in words is "three trillion, two hundred three billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred".