2112013 has 2 divisors, whose sum is σ = 2112014. Its totient is φ = 2112012.

The previous prime is 2112007. The next prime is 2112017. The reversal of 2112013 is 3102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1954404 + 157609 = 1398^2 + 397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112013 - 2¹³ = 2103821 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056006 + 1056007.

It is an arithmetic number, because the mean of its divisors is an integer number (1056007).

2^2112013 is an apocalyptic number.

It is an amenable number.

2112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112013 is an equidigital number, since it uses as much as digits as its factorization.

2112013 is an evil number, because the sum of its binary digits is even.

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

The square root of 2112013 is about 1453.2766426252. The cubic root of 2112013 is about 128.3016364439.

Adding to 2112013 its reverse (3102112), we get a palindrome (5214125).

Subtracting 2112013 from its reverse (3102112), we obtain a palindrome (990099).

The spelling of 2112013 in words is "two million, one hundred twelve thousand, thirteen".