213122031201337 has 2 divisors, whose sum is σ = 213122031201338. Its totient is φ = 213122031201336.

The previous prime is 213122031201281. The next prime is 213122031201349. The reversal of 213122031201337 is 733102130221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203704227705001 + 9417803496336 = 14272499^2 + 3068844^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122031201337 - 2¹¹ = 213122031199289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213122031201299 and 213122031201308.

It is not a weakly prime, because it can be changed into another prime (213122031201637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561015600668 + 106561015600669.

It is an arithmetic number, because the mean of its divisors is an integer number (106561015600669).

Almost surely, 2^{213122031201337} is an apocalyptic number.

It is an amenable number.

213122031201337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122031201337 is an equidigital number, since it uses as much as digits as its factorization.

213122031201337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 213122031201337 its reverse (733102130221312), we get a palindrome (946224161422649).

The spelling of 213122031201337 in words is "two hundred thirteen trillion, one hundred twenty-two billion, thirty-one million, two hundred one thousand, three hundred thirty-seven".