2212003131313 has 2 divisors, whose sum is σ = 2212003131314. Its totient is φ = 2212003131312.

The previous prime is 2212003131277. The next prime is 2212003131337. The reversal of 2212003131313 is 3131313002122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2053294116624 + 158709014689 = 1432932^2 + 398383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212003131313 - 2⁹ = 2212003130801 is a prime.

It is a super-2 number, since 2×2212003131313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2212003131713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106001565656 + 1106001565657.

It is an arithmetic number, because the mean of its divisors is an integer number (1106001565657).

Almost surely, 2^{2212003131313} is an apocalyptic number.

It is an amenable number.

2212003131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212003131313 is an equidigital number, since it uses as much as digits as its factorization.

2212003131313 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 2212003131313 its reverse (3131313002122), we get a palindrome (5343316133435).

The spelling of 2212003131313 in words is "two trillion, two hundred twelve billion, three million, one hundred thirty-one thousand, three hundred thirteen".