112000213 has 16 divisors (see below), whose sum is σ = 122710896. Its totient is φ = 101606400.

The previous prime is 112000123. The next prime is 112000219. The reversal of 112000213 is 312000211.

It can be written as a sum of positive squares in 8 ways, for example, as 4297329 + 107702884 = 2073^2 + 10378^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000213 - 2¹⁷ = 111869141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112000213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258445 + ... + 258877.

It is an arithmetic number, because the mean of its divisors is an integer number (7669431).

Almost surely, 2^112000213 is an apocalyptic number.

112000213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112000213 is a deficient number, since it is larger than the sum of its proper divisors (10710683).

112000213 is a wasteful number, since it uses less digits than its factorization.

112000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112000213 is about 10583.0153075577. The cubic root of 112000213 is about 482.0287584065.

Adding to 112000213 its reverse (312000211), we get a palindrome (424000424).

The spelling of 112000213 in words is "one hundred twelve million, two hundred thirteen", and thus it is an aban number.