213013023329 has 2 divisors, whose sum is σ = 213013023330. Its totient is φ = 213013023328.

The previous prime is 213013023281. The next prime is 213013023341. The reversal of 213013023329 is 923320310312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122741619025 + 90271404304 = 350345^2 + 300452^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013023329 - 2⁸ = 213013023073 is a prime.

It is a super-2 number, since 2×213013023329² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213013023029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506511664 + 106506511665.

It is an arithmetic number, because the mean of its divisors is an integer number (106506511665).

Almost surely, 2^213013023329 is an apocalyptic number.

It is an amenable number.

213013023329 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013023329 is an equidigital number, since it uses as much as digits as its factorization.

213013023329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 213013023329 in words is "two hundred thirteen billion, thirteen million, twenty-three thousand, three hundred twenty-nine".