20101133023011 has 48 divisors (see below), whose sum is σ = 29477177402400. Its totient is φ = 13198190616576.

The previous prime is 20101133022961. The next prime is 20101133023039. The reversal of 20101133023011 is 11032033110102.

20101133023011 is a `hidden beast` number, since 2 + 0 + 101 + 1 + 330 + 230 + 1 + 1 = 666.

It is not a de Polignac number, because 20101133023011 - 2⁹ = 20101133022499 is a prime.

It is a super-2 number, since 2×20101133023011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101133023051) 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 47 ways as a sum of consecutive naturals, for example, 1387330255 + ... + 1387344743.

It is an arithmetic number, because the mean of its divisors is an integer number (614107862550).

Almost surely, 2^{20101133023011} is an apocalyptic number.

20101133023011 is a deficient number, since it is larger than the sum of its proper divisors (9376044379389).

20101133023011 is a wasteful number, since it uses less digits than its factorization.

20101133023011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23140 (or 23137 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20101133023011 its reverse (11032033110102), we get a palindrome (31133166133113).

The spelling of 20101133023011 in words is "twenty trillion, one hundred one billion, one hundred thirty-three million, twenty-three thousand, eleven".