2002033133000 has 32 divisors (see below), whose sum is σ = 4684757533560. Its totient is φ = 800813252800.

The previous prime is 2002033132973. The next prime is 2002033133027. The reversal of 2002033133000 is 3313302002.

It is an interprime number because it is at equal distance from previous prime (2002033132973) and next prime (2002033133027).

It can be written as a sum of positive squares in 4 ways, for example, as 370532733796 + 1631500399204 = 608714^2 + 1277302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2002033133000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001015567 + ... + 1001017566.

Almost surely, 2^{2002033133000} is an apocalyptic number.

2002033133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002033133000 is an abundant number, since it is smaller than the sum of its proper divisors (2682724400560).

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

2002033133000 is a wasteful number, since it uses less digits than its factorization.

2002033133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002033154 (or 2002033140 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 2002033133000 its reverse (3313302002), we get a palindrome (2005346435002).

The spelling of 2002033133000 in words is "two trillion, two billion, thirty-three million, one hundred thirty-three thousand".