213112203313 has 2 divisors, whose sum is σ = 213112203314. Its totient is φ = 213112203312.

The previous prime is 213112203289. The next prime is 213112203329. The reversal of 213112203313 is 313302211312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212071302144 + 1040901169 = 460512^2 + 32263^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112203313 - 2¹⁷ = 213112072241 is a prime.

It is a super-2 number, since 2×213112203313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213112203373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556101656 + 106556101657.

It is an arithmetic number, because the mean of its divisors is an integer number (106556101657).

Almost surely, 2^213112203313 is an apocalyptic number.

It is an amenable number.

213112203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213112203313 is an equidigital number, since it uses as much as digits as its factorization.

213112203313 is an evil number, because the sum of its binary digits is even.

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

Adding to 213112203313 its reverse (313302211312), we get a palindrome (526414414625).

The spelling of 213112203313 in words is "two hundred thirteen billion, one hundred twelve million, two hundred three thousand, three hundred thirteen".