101332222222113 has 48 divisors (see below), whose sum is σ = 150578735763456. Its totient is φ = 65629061658720.

The previous prime is 101332222222073. The next prime is 101332222222123. The reversal of 101332222222113 is 311222222233101.

101332222222113 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 222 + 222 + 211 + 3 = 666.

It is not a de Polignac number, because 101332222222113 - 2²² = 101332218027809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101332222222123) 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 47 ways as a sum of consecutive naturals, for example, 127560556 + ... + 128352482.

It is an arithmetic number, because the mean of its divisors is an integer number (3137056995072).

Almost surely, 2^{101332222222113} is an apocalyptic number.

It is an amenable number.

101332222222113 is a deficient number, since it is larger than the sum of its proper divisors (49246513541343).

101332222222113 is a wasteful number, since it uses less digits than its factorization.

101332222222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793754 (or 793751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101332222222113 its reverse (311222222233101), we get a palindrome (412554444455214).

The spelling of 101332222222113 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirteen".