212003210032013 has 2 divisors, whose sum is σ = 212003210032014. Its totient is φ = 212003210032012.

The previous prime is 212003210032007. The next prime is 212003210032027. The reversal of 212003210032013 is 310230012300212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201058844148484 + 10944365883529 = 14179522^2 + 3308227^2 .

It is a cyclic number.

It is not a de Polignac number, because 212003210032013 - 2²⁰ = 212003208983437 is a prime.

It is a super-2 number, since 2×212003210032013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212003210034013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001605016006 + 106001605016007.

It is an arithmetic number, because the mean of its divisors is an integer number (106001605016007).

Almost surely, 2^{212003210032013} is an apocalyptic number.

It is an amenable number.

212003210032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212003210032013 is an equidigital number, since it uses as much as digits as its factorization.

212003210032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212003210032013 its reverse (310230012300212), we get a palindrome (522233222332225).

The spelling of 212003210032013 in words is "two hundred twelve trillion, three billion, two hundred ten million, thirty-two thousand, thirteen".