212011010122013 has 2 divisors, whose sum is σ = 212011010122014. Its totient is φ = 212011010122012.

The previous prime is 212011010121997. The next prime is 212011010122033. The reversal of 212011010122013 is 310221010110212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207703380438724 + 4307629683289 = 14411918^2 + 2075483^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011010122013 - 2⁴ = 212011010121997 is a prime.

It is a super-2 number, since 2×212011010122013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011010121982 and 212011010122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011010122033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005505061006 + 106005505061007.

It is an arithmetic number, because the mean of its divisors is an integer number (106005505061007).

Almost surely, 2^{212011010122013} is an apocalyptic number.

It is an amenable number.

212011010122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011010122013 is an equidigital number, since it uses as much as digits as its factorization.

212011010122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212011010122013 its reverse (310221010110212), we get a palindrome (522232020232225).

The spelling of 212011010122013 in words is "two hundred twelve trillion, eleven billion, ten million, one hundred twenty-two thousand, thirteen".