101330112031011 has 6 divisors (see below), whose sum is σ = 146365717378140. Its totient is φ = 67553408020668.

The previous prime is 101330112031007. The next prime is 101330112031019. The reversal of 101330112031011 is 110130211033101.

101330112031011 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 1 + 1 + 20 + 310 + 1 + 1 = 666.

It is not a de Polignac number, because 101330112031011 - 2² = 101330112031007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101330112031019) 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 5 ways as a sum of consecutive naturals, for example, 5629450668381 + ... + 5629450668398.

It is an arithmetic number, because the mean of its divisors is an integer number (24394286229690).

Almost surely, 2^{101330112031011} is an apocalyptic number.

101330112031011 is a deficient number, since it is larger than the sum of its proper divisors (45035605347129).

101330112031011 is a wasteful number, since it uses less digits than its factorization.

101330112031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258901336785 (or 11258901336782 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101330112031011 its reverse (110130211033101), we get a palindrome (211460323064112).

The spelling of 101330112031011 in words is "one hundred one trillion, three hundred thirty billion, one hundred twelve million, thirty-one thousand, eleven".