213113034392729 has 2 divisors, whose sum is σ = 213113034392730. Its totient is φ = 213113034392728.

The previous prime is 213113034392663. The next prime is 213113034392827. The reversal of 213113034392729 is 927293430311312.

213113034392729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155725940160400 + 57387094232329 = 12479020^2 + 7575427^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113034392729 - 2²⁰ = 213113033344153 is a prime.

It is a super-2 number, since 2×213113034392729² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213113034398729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556517196364 + 106556517196365.

It is an arithmetic number, because the mean of its divisors is an integer number (106556517196365).

Almost surely, 2^{213113034392729} is an apocalyptic number.

It is an amenable number.

213113034392729 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113034392729 is an equidigital number, since it uses as much as digits as its factorization.

213113034392729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1469664, while the sum is 50.

The spelling of 213113034392729 in words is "two hundred thirteen trillion, one hundred thirteen billion, thirty-four million, three hundred ninety-two thousand, seven hundred twenty-nine".