2002133000034 has 12 divisors (see below), whose sum is σ = 4337954833446. Its totient is φ = 667377666672.

The previous prime is 2002133000029. The next prime is 2002133000039. The reversal of 2002133000034 is 4300003312002.

It is an interprime number because it is at equal distance from previous prime (2002133000029) and next prime (2002133000039).

It can be written as a sum of positive squares in only one way, i.e., 1823318191809 + 178814808225 = 1350303^2 + 422865^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111229611113 = 2002133000034 / (2 + 0 + 0 + 2 + 1 + 3 + 3 + 0 + 0 + 0 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2002132999980 and 2002133000016.

It is not an unprimeable number, because it can be changed into a prime (2002133000039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55614805539 + ... + 55614805574.

Almost surely, 2^{2002133000034} is an apocalyptic number.

2002133000034 is an abundant number, since it is smaller than the sum of its proper divisors (2335821833412).

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

2002133000034 is a wasteful number, since it uses less digits than its factorization.

2002133000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111229611121 (or 111229611118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2002133000034 its reverse (4300003312002), we get a palindrome (6302136312036).

The spelling of 2002133000034 in words is "two trillion, two billion, one hundred thirty-three million, thirty-four", and thus it is an aban number.