2002010101133 has 16 divisors (see below), whose sum is σ = 2300757043200. Its totient is φ = 1706458895856.

The previous prime is 2002010101127. The next prime is 2002010101141. The reversal of 2002010101133 is 3311010102002.

It is a cyclic number.

It is not a de Polignac number, because 2002010101133 - 2¹⁴ = 2002010084749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2183810 + ... + 2961932.

It is an arithmetic number, because the mean of its divisors is an integer number (143797315200).

Almost surely, 2^{2002010101133} is an apocalyptic number.

It is an amenable number.

2002010101133 is a deficient number, since it is larger than the sum of its proper divisors (298746942067).

2002010101133 is a wasteful number, since it uses less digits than its factorization.

2002010101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780176.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2002010101133 its reverse (3311010102002), we get a palindrome (5313020203135).

The spelling of 2002010101133 in words is "two trillion, two billion, ten million, one hundred one thousand, one hundred thirty-three".