3113132202000 has 360 divisors, whose sum is σ = 11366466879768. Its totient is φ = 794071872000.

The previous prime is 3113132201947. The next prime is 3113132202013. The reversal of 3113132202000 is 2022313113.

3113132202000 is a `hidden beast` number, since 311 + 3 + 132 + 20 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50226188544 + 3062906013456 = 224112^2 + 1750116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9358530 + ... + 9685470.

Almost surely, 2^{3113132202000} is an apocalyptic number.

3113132202000 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 3113132202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683233439884).

3113132202000 is an abundant number, since it is smaller than the sum of its proper divisors (8253334677768).

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

3113132202000 is a wasteful number, since it uses less digits than its factorization.

3113132202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327016 (or 326974 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3113132202000 its reverse (2022313113), we get a palindrome (3115154515113).

The spelling of 3113132202000 in words is "three trillion, one hundred thirteen billion, one hundred thirty-two million, two hundred two thousand".