213003330001321 has 2 divisors, whose sum is σ = 213003330001322. Its totient is φ = 213003330001320.

The previous prime is 213003330001271. The next prime is 213003330001333. The reversal of 213003330001321 is 123100033300312.

213003330001321 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., 129382912864921 + 83620417136400 = 11374661^2 + 9144420^2 .

It is a cyclic number.

It is not a de Polignac number, because 213003330001321 - 2³⁵ = 212968970262953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213003330001292 and 213003330001301.

It is not a weakly prime, because it can be changed into another prime (213003330001351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501665000660 + 106501665000661.

It is an arithmetic number, because the mean of its divisors is an integer number (106501665000661).

Almost surely, 2^{213003330001321} is an apocalyptic number.

It is an amenable number.

213003330001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003330001321 is an equidigital number, since it uses as much as digits as its factorization.

213003330001321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213003330001321 its reverse (123100033300312), we get a palindrome (336103363301633).

The spelling of 213003330001321 in words is "two hundred thirteen trillion, three billion, three hundred thirty million, one thousand, three hundred twenty-one".