213121213323037 has 2 divisors, whose sum is σ = 213121213323038. Its totient is φ = 213121213323036.

The previous prime is 213121213323013. The next prime is 213121213323041. The reversal of 213121213323037 is 730323312121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125418250542841 + 87702962780196 = 11199029^2 + 9364986^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121213323037 - 2¹⁵ = 213121213290269 is a prime.

It is a super-2 number, since 2×213121213323037² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213121213322993 and 213121213323011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213121213323047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560606661518 + 106560606661519.

It is an arithmetic number, because the mean of its divisors is an integer number (106560606661519).

Almost surely, 2^{213121213323037} is an apocalyptic number.

It is an amenable number.

213121213323037 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121213323037 is an equidigital number, since it uses as much as digits as its factorization.

213121213323037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

Adding to 213121213323037 its reverse (730323312121312), we get a palindrome (943444525444349).

The spelling of 213121213323037 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-three thousand, thirty-seven".