213132013013321 has 2 divisors, whose sum is σ = 213132013013322. Its totient is φ = 213132013013320.

The previous prime is 213132013013237. The next prime is 213132013013351. The reversal of 213132013013321 is 123310310231312.

213132013013321 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., 170646906849721 + 42485106163600 = 13063189^2 + 6518060^2 .

It is a cyclic number.

It is not a de Polignac number, because 213132013013321 - 2²² = 213132008819017 is a prime.

It is a super-2 number, since 2×213132013013321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213132013013351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566006506660 + 106566006506661.

It is an arithmetic number, because the mean of its divisors is an integer number (106566006506661).

Almost surely, 2^{213132013013321} is an apocalyptic number.

It is an amenable number.

213132013013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213132013013321 is an equidigital number, since it uses as much as digits as its factorization.

213132013013321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 213132013013321 its reverse (123310310231312), we get a palindrome (336442323244633).

The spelling of 213132013013321 in words is "two hundred thirteen trillion, one hundred thirty-two billion, thirteen million, thirteen thousand, three hundred twenty-one".