2002102033133 has 2 divisors, whose sum is σ = 2002102033134. Its totient is φ = 2002102033132.

The previous prime is 2002102033103. The next prime is 2002102033189. The reversal of 2002102033133 is 3313302012002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1188618896644 + 813483136489 = 1090238^2 + 901933^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002102033133 - 2²⁰ = 2002100984557 is a prime.

It is a super-3 number, since 3×2002102033133³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002102033103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001051016566 + 1001051016567.

It is an arithmetic number, because the mean of its divisors is an integer number (1001051016567).

Almost surely, 2^{2002102033133} is an apocalyptic number.

It is an amenable number.

2002102033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002102033133 is an equidigital number, since it uses as much as digits as its factorization.

2002102033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2002102033133 its reverse (3313302012002), we get a palindrome (5315404045135).

The spelling of 2002102033133 in words is "two trillion, two billion, one hundred two million, thirty-three thousand, one hundred thirty-three".