3133112220000 has 720 divisors, whose sum is σ = 12877928743680. Its totient is φ = 707488128000.

The previous prime is 3133112219933. The next prime is 3133112220053. The reversal of 3133112220000 is 222113313.

3133112220000 is a `hidden beast` number, since 313 + 31 + 122 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3133112220000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104565021 + ... + 104594979.

It is an arithmetic number, because the mean of its divisors is an integer number (17886012144).

Almost surely, 2^{3133112220000} is an apocalyptic number.

3133112220000 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 3133112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438964371840).

3133112220000 is an abundant number, since it is smaller than the sum of its proper divisors (9744816523680).

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

3133112220000 is a wasteful number, since it uses less digits than its factorization.

3133112220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30085 (or 30059 counting only the distinct ones).

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

Adding to 3133112220000 its reverse (222113313), we get a palindrome (3133334333313).

The spelling of 3133112220000 in words is "three trillion, one hundred thirty-three billion, one hundred twelve million, two hundred twenty thousand".