21120212211313 has 2 divisors, whose sum is σ = 21120212211314. Its totient is φ = 21120212211312.

The previous prime is 21120212211257. The next prime is 21120212211443. The reversal of 21120212211313 is 31311221202112.

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., 20946475799824 + 173736411489 = 4576732^2 + 416817^2 .

It is a cyclic number.

It is not a de Polignac number, because 21120212211313 - 2¹⁷ = 21120212080241 is a prime.

It is a super-2 number, since 2×21120212211313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21120212211713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560106105656 + 10560106105657.

It is an arithmetic number, because the mean of its divisors is an integer number (10560106105657).

Almost surely, 2^{21120212211313} is an apocalyptic number.

It is an amenable number.

21120212211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21120212211313 is an equidigital number, since it uses as much as digits as its factorization.

21120212211313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21120212211313 its reverse (31311221202112), we get a palindrome (52431433413425).

The spelling of 21120212211313 in words is "twenty-one trillion, one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, three hundred thirteen".