3133232002000 has 160 divisors (see below), whose sum is σ = 7785358517664. Its totient is φ = 1218723840000.

The previous prime is 3133232001997. The next prime is 3133232002009. The reversal of 3133232002000 is 2002323313.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3027349445184 + 105882556816 = 1739928^2 + 325396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133232002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140662864 + ... + 140685136.

Almost surely, 2^{3133232002000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133232002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892679258832).

3133232002000 is an abundant number, since it is smaller than the sum of its proper divisors (4652126515664).

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

3133232002000 is a wasteful number, since it uses less digits than its factorization.

3133232002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24234 (or 24218 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 3133232002000 its reverse (2002323313), we get a palindrome (3135234325313).

The spelling of 3133232002000 in words is "three trillion, one hundred thirty-three billion, two hundred thirty-two million, two thousand".