112133021013 has 96 divisors (see below), whose sum is σ = 184668906240. Its totient is φ = 65083253760.

The previous prime is 112133020973. The next prime is 112133021051. The reversal of 112133021013 is 310120331211.

112133021013 is a `hidden beast` number, since 1 + 121 + 330 + 210 + 1 + 3 = 666.

It is not a de Polignac number, because 112133021013 - 2⁶ = 112133020949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133021083) 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 95 ways as a sum of consecutive naturals, for example, 26500608 + ... + 26504838.

It is an arithmetic number, because the mean of its divisors is an integer number (1923634440).

Almost surely, 2^112133021013 is an apocalyptic number.

112133021013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112133021013 is a deficient number, since it is larger than the sum of its proper divisors (72535885227).

112133021013 is a wasteful number, since it uses less digits than its factorization.

112133021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4456 counting only the distinct ones).

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

Adding to 112133021013 its reverse (310120331211), we get a palindrome (422253352224).

The spelling of 112133021013 in words is "one hundred twelve billion, one hundred thirty-three million, twenty-one thousand, thirteen".