3133113120000 has 270 divisors, whose sum is σ = 11288313678642. Its totient is φ = 835496448000.

The previous prime is 3133113119987. The next prime is 3133113120017. The reversal of 3133113120000 is 213113313.

It is a happy number.

3133113120000 is a `hidden beast` number, since 3 + 1 + 331 + 131 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1090637680896 + 2042475439104 = 1044336^2 + 1429152^2 .

It is a super-2 number, since 2×3133113120000² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 352114 + ... + 2527886.

Almost surely, 2^{3133113120000} is an apocalyptic number.

3133113120000 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 3133113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644156839321).

3133113120000 is an abundant number, since it is smaller than the sum of its proper divisors (8155200558642).

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

3133113120000 is an equidigital number, since it uses as much as digits as its factorization.

3133113120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175815 (or 2175783 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3133113120000 its reverse (213113313), we get a palindrome (3133326233313).

The spelling of 3133113120000 in words is "three trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twenty thousand".