3133314000000 has 672 divisors, whose sum is σ = 11380922681700. Its totient is φ = 827366400000.

The previous prime is 3133313999989. The next prime is 3133314000001. The reversal of 3133314000000 is 4133313.

It can be written as a sum of positive squares in 14 ways, for example, as 2859048120384 + 274265879616 = 1690872^2 + 523704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3133314000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1961999202 + ... + 1962000798.

Almost surely, 2^{3133314000000} is an apocalyptic number.

3133314000000 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 3133314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690461340850).

3133314000000 is an abundant number, since it is smaller than the sum of its proper divisors (8247608681700).

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

3133314000000 is an equidigital number, since it uses as much as digits as its factorization.

3133314000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3133314000000 its reverse (4133313), we get a palindrome (3133318133313).

The spelling of 3133314000000 in words is "three trillion, one hundred thirty-three billion, three hundred fourteen million", and thus it is an aban number.