2112000033313 has 2 divisors, whose sum is σ = 2112000033314. Its totient is φ = 2112000033312.

The previous prime is 2112000033307. The next prime is 2112000033347. The reversal of 2112000033313 is 3133300002112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1084580610624 + 1027419422689 = 1041432^2 + 1013617^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112000033313 - 2¹⁷ = 2111999902241 is a prime.

It is a super-2 number, since 2×2112000033313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112000033373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056000016656 + 1056000016657.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000016657).

Almost surely, 2^{2112000033313} is an apocalyptic number.

It is an amenable number.

2112000033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112000033313 is an equidigital number, since it uses as much as digits as its factorization.

2112000033313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2112000033313 its reverse (3133300002112), we get a palindrome (5245300035425).

The spelling of 2112000033313 in words is "two trillion, one hundred twelve billion, thirty-three thousand, three hundred thirteen".