212133103023313 has 2 divisors, whose sum is σ = 212133103023314. Its totient is φ = 212133103023312.

The previous prime is 212133103023253. The next prime is 212133103023367. The reversal of 212133103023313 is 313320301331212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167635891815184 + 44497211208129 = 12947428^2 + 6670623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212133103023313 is a prime.

It is a super-2 number, since 2×212133103023313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212133103029313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066551511656 + 106066551511657.

It is an arithmetic number, because the mean of its divisors is an integer number (106066551511657).

Almost surely, 2^{212133103023313} is an apocalyptic number.

It is an amenable number.

212133103023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133103023313 is an equidigital number, since it uses as much as digits as its factorization.

212133103023313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 212133103023313 its reverse (313320301331212), we get a palindrome (525453404354525).

The spelling of 212133103023313 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred three million, twenty-three thousand, three hundred thirteen".