10333213401337 has 2 divisors, whose sum is σ = 10333213401338. Its totient is φ = 10333213401336.

The previous prime is 10333213401229. The next prime is 10333213401349. The reversal of 10333213401337 is 73310431233301.

10333213401337 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., 9729726801001 + 603486600336 = 3119251^2 + 776844^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333213401337 - 2¹⁹ = 10333212877049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10333213401397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166606700668 + 5166606700669.

It is an arithmetic number, because the mean of its divisors is an integer number (5166606700669).

Almost surely, 2^{10333213401337} is an apocalyptic number.

It is an amenable number.

10333213401337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333213401337 is an equidigital number, since it uses as much as digits as its factorization.

10333213401337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 34.

Adding to 10333213401337 its reverse (73310431233301), we get a palindrome (83643644634638).

The spelling of 10333213401337 in words is "ten trillion, three hundred thirty-three billion, two hundred thirteen million, four hundred one thousand, three hundred thirty-seven".