112331020133211 has 24 divisors (see below), whose sum is σ = 165408611535552. Its totient is φ = 67756754881200.

The previous prime is 112331020133177. The next prime is 112331020133273.

112331020133211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112331020133211 - 2⁷ = 112331020133083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112331020133911) 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 23 ways as a sum of consecutive naturals, for example, 733221621 + ... + 733374806.

It is an arithmetic number, because the mean of its divisors is an integer number (6892025480648).

Almost surely, 2^{112331020133211} is an apocalyptic number.

112331020133211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112331020133211 is a deficient number, since it is larger than the sum of its proper divisors (53077591402341).

112331020133211 is a wasteful number, since it uses less digits than its factorization.

112331020133211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466596663 (or 1466596652 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 112331020133211 in words is "one hundred twelve trillion, three hundred thirty-one billion, twenty million, one hundred thirty-three thousand, two hundred eleven".