42213101314213 has 2 divisors, whose sum is σ = 42213101314214. Its totient is φ = 42213101314212.

The previous prime is 42213101314193. The next prime is 42213101314231. The reversal of 42213101314213 is 31241310131224.

Together with next prime (42213101314231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31815939675844 + 10397161638369 = 5640562^2 + 3224463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42213101314213 is a prime.

It is a super-2 number, since 2×42213101314213² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42213101314243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21106550657106 + 21106550657107.

It is an arithmetic number, because the mean of its divisors is an integer number (21106550657107).

Almost surely, 2^{42213101314213} is an apocalyptic number.

It is an amenable number.

42213101314213 is a deficient number, since it is larger than the sum of its proper divisors (1).

42213101314213 is an equidigital number, since it uses as much as digits as its factorization.

42213101314213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 42213101314213 its reverse (31241310131224), we get a palindrome (73454411445437).

The spelling of 42213101314213 in words is "forty-two trillion, two hundred thirteen billion, one hundred one million, three hundred fourteen thousand, two hundred thirteen".