3201131100000 has 288 divisors, whose sum is σ = 10701262887840. Its totient is φ = 837524480000.

The previous prime is 3201131099993. The next prime is 3201131100001. The reversal of 3201131100000 is 11311023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201131100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15799336 + ... + 16000664.

It is an arithmetic number, because the mean of its divisors is an integer number (37157162805).

Almost surely, 2^{3201131100000} is an apocalyptic number.

3201131100000 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 3201131100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350631443920).

3201131100000 is an abundant number, since it is smaller than the sum of its proper divisors (7500131787840).

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

3201131100000 is an equidigital number, since it uses as much as digits as its factorization.

3201131100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201420 (or 201392 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3201131100000 its reverse (11311023), we get a palindrome (3201142411023).

The spelling of 3201131100000 in words is "three trillion, two hundred one billion, one hundred thirty-one million, one hundred thousand".