1002133001133 has 128 divisors (see below), whose sum is σ = 1671195525120. Its totient is φ = 588269304000.

The previous prime is 1002133001123. The next prime is 1002133001167. The reversal of 1002133001133 is 3311003312001.

It is a happy number.

1002133001133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002133001133 - 2⁶ = 1002133001069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002133001123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1032062338 + ... + 1032063308.

It is an arithmetic number, because the mean of its divisors is an integer number (13056215040).

Almost surely, 2^{1002133001133} is an apocalyptic number.

It is an amenable number.

1002133001133 is a deficient number, since it is larger than the sum of its proper divisors (669062523987).

1002133001133 is a wasteful number, since it uses less digits than its factorization.

1002133001133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1002133001133 its reverse (3311003312001), we get a palindrome (4313136313134).

The spelling of 1002133001133 in words is "one trillion, two billion, one hundred thirty-three million, one thousand, one hundred thirty-three".