10010111112133 has 16 divisors (see below), whose sum is σ = 10954779099264. Its totient is φ = 9071264410560.

The previous prime is 10010111112121. The next prime is 10010111112151. The reversal of 10010111112133 is 33121111101001.

It is not a de Polignac number, because 10010111112133 - 2¹⁷ = 10010110981061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111112103) 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, 3330691 + ... + 5577967.

It is an arithmetic number, because the mean of its divisors is an integer number (684673693704).

Almost surely, 2^{10010111112133} is an apocalyptic number.

It is an amenable number.

10010111112133 is a deficient number, since it is larger than the sum of its proper divisors (944667987131).

10010111112133 is a wasteful number, since it uses less digits than its factorization.

10010111112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248572.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10010111112133 its reverse (33121111101001), we get a palindrome (43131222213134).

The spelling of 10010111112133 in words is "ten trillion, ten billion, one hundred eleven million, one hundred twelve thousand, one hundred thirty-three".