1012001112133 has 64 divisors (see below), whose sum is σ = 1158246770688. Its totient is φ = 876145662720.

The previous prime is 1012001112127. The next prime is 1012001112169. The reversal of 1012001112133 is 3312111002101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012001112133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012001112173) 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 63 ways as a sum of consecutive naturals, for example, 1650898735 + ... + 1650899347.

It is an arithmetic number, because the mean of its divisors is an integer number (18097605792).

Almost surely, 2^{1012001112133} is an apocalyptic number.

It is an amenable number.

1012001112133 is a deficient number, since it is larger than the sum of its proper divisors (146245658555).

1012001112133 is a wasteful number, since it uses less digits than its factorization.

1012001112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1012001112133 its reverse (3312111002101), we get a palindrome (4324112114234).

The spelling of 1012001112133 in words is "one trillion, twelve billion, one million, one hundred twelve thousand, one hundred thirty-three".