211212132213113 has 2 divisors, whose sum is σ = 211212132213114. Its totient is φ = 211212132213112.

The previous prime is 211212132213097. The next prime is 211212132213289. The reversal of 211212132213113 is 311312231212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174557789569024 + 36654342644089 = 13212032^2 + 6054283^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212132213113 - 2⁴ = 211212132213097 is a prime.

It is a super-2 number, since 2×211212132213113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211212132213013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606066106556 + 105606066106557.

It is an arithmetic number, because the mean of its divisors is an integer number (105606066106557).

Almost surely, 2^{211212132213113} is an apocalyptic number.

It is an amenable number.

211212132213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212132213113 is an equidigital number, since it uses as much as digits as its factorization.

211212132213113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 26.

Adding to 211212132213113 its reverse (311312231212112), we get a palindrome (522524363425225).

The spelling of 211212132213113 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred thirteen".