21133212313 has 2 divisors, whose sum is σ = 21133212314. Its totient is φ = 21133212312.

The previous prime is 21133212277. The next prime is 21133212349. The reversal of 21133212313 is 31321233112.

It is a balanced prime because it is at equal distance from previous prime (21133212277) and next prime (21133212349).

It can be written as a sum of positive squares in only one way, i.e., 15673036864 + 5460175449 = 125192^2 + 73893^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133212313 - 2²⁵ = 21099657881 is a prime.

It is a super-2 number, since 2×21133212313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21133212713) 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, 10566606156 + 10566606157.

It is an arithmetic number, because the mean of its divisors is an integer number (10566606157).

Almost surely, 2^21133212313 is an apocalyptic number.

It is an amenable number.

21133212313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133212313 is an equidigital number, since it uses as much as digits as its factorization.

21133212313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 21133212313 its reverse (31321233112), we get a palindrome (52454445425).

The spelling of 21133212313 in words is "twenty-one billion, one hundred thirty-three million, two hundred twelve thousand, three hundred thirteen".