213201141102337 has 2 divisors, whose sum is σ = 213201141102338. Its totient is φ = 213201141102336.

The previous prime is 213201141102311. The next prime is 213201141102359. The reversal of 213201141102337 is 733201141102312.

It is a happy number.

213201141102337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183968098218256 + 29233042884081 = 13563484^2 + 5406759^2 .

It is a cyclic number.

It is not a de Polignac number, because 213201141102337 - 2⁴⁷ = 72463652747009 is a prime.

It is a super-2 number, since 2×213201141102337² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213201141102299 and 213201141102308.

It is not a weakly prime, because it can be changed into another prime (213201141102137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600570551168 + 106600570551169.

It is an arithmetic number, because the mean of its divisors is an integer number (106600570551169).

Almost surely, 2^{213201141102337} is an apocalyptic number.

It is an amenable number.

213201141102337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201141102337 is an equidigital number, since it uses as much as digits as its factorization.

213201141102337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 213201141102337 its reverse (733201141102312), we get a palindrome (946402282204649).

The spelling of 213201141102337 in words is "two hundred thirteen trillion, two hundred one billion, one hundred forty-one million, one hundred two thousand, three hundred thirty-seven".