211011013012313 has 2 divisors, whose sum is σ = 211011013012314. Its totient is φ = 211011013012312.

The previous prime is 211011013012279. The next prime is 211011013012343. The reversal of 211011013012313 is 313210310110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158393224480969 + 52617788531344 = 12585437^2 + 7253812^2 .

It is a cyclic number.

It is not a de Polignac number, because 211011013012313 - 2¹⁰ = 211011013011289 is a prime.

It is a super-2 number, since 2×211011013012313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211011013012343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505506506156 + 105505506506157.

It is an arithmetic number, because the mean of its divisors is an integer number (105505506506157).

Almost surely, 2^{211011013012313} is an apocalyptic number.

It is an amenable number.

211011013012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011013012313 is an equidigital number, since it uses as much as digits as its factorization.

211011013012313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 211011013012313 its reverse (313210310110112), we get a palindrome (524221323122425).

The spelling of 211011013012313 in words is "two hundred eleven trillion, eleven billion, thirteen million, twelve thousand, three hundred thirteen".