211312132111013 has 2 divisors, whose sum is σ = 211312132111014. Its totient is φ = 211312132111012.

The previous prime is 211312132110973. The next prime is 211312132111063. The reversal of 211312132111013 is 310111231213112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154490431818724 + 56821700292289 = 12429418^2 + 7538017^2 .

It is a cyclic number.

It is not a de Polignac number, because 211312132111013 - 2⁸ = 211312132110757 is a prime.

It is a super-2 number, since 2×211312132111013² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211312132111013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211312132111063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105656066055506 + 105656066055507.

It is an arithmetic number, because the mean of its divisors is an integer number (105656066055507).

Almost surely, 2^{211312132111013} is an apocalyptic number.

It is an amenable number.

211312132111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211312132111013 is an equidigital number, since it uses as much as digits as its factorization.

211312132111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 211312132111013 its reverse (310111231213112), we get a palindrome (521423363324125).

The spelling of 211312132111013 in words is "two hundred eleven trillion, three hundred twelve billion, one hundred thirty-two million, one hundred eleven thousand, thirteen".