1002133212133 has 16 divisors (see below), whose sum is σ = 1048261994176. Its totient is φ = 957133376640.

The previous prime is 1002133212121. The next prime is 1002133212253. The reversal of 1002133212133 is 3312123312001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002133212133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002133212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309291 + ... + 1449112.

It is an arithmetic number, because the mean of its divisors is an integer number (65516374636).

Almost surely, 2^{1002133212133} is an apocalyptic number.

It is an amenable number.

1002133212133 is a deficient number, since it is larger than the sum of its proper divisors (46128782043).

1002133212133 is a wasteful number, since it uses less digits than its factorization.

1002133212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758724.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1002133212133 its reverse (3312123312001), we get a palindrome (4314256524134).

The spelling of 1002133212133 in words is "one trillion, two billion, one hundred thirty-three million, two hundred twelve thousand, one hundred thirty-three".