212013113 has 16 divisors (see below), whose sum is σ = 237048000. Its totient is φ = 188274240.

The previous prime is 212013107. The next prime is 212013119. The reversal of 212013113 is 311310212.

It is an interprime number because it is at equal distance from previous prime (212013107) and next prime (212013119).

It is a cyclic number.

It is not a de Polignac number, because 212013113 - 2¹⁸ = 211750969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212013119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123938 + ... + 125636.

It is an arithmetic number, because the mean of its divisors is an integer number (14815500).

Almost surely, 2^212013113 is an apocalyptic number.

It is an amenable number.

212013113 is a deficient number, since it is larger than the sum of its proper divisors (25034887).

212013113 is a wasteful number, since it uses less digits than its factorization.

212013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 212013113 is about 14560.6700738668. The cubic root of 212013113 is about 596.2854894367.

Adding to 212013113 its reverse (311310212), we get a palindrome (523323325).

The spelling of 212013113 in words is "two hundred twelve million, thirteen thousand, one hundred thirteen".