213088129 has 2 divisors, whose sum is σ = 213088130. Its totient is φ = 213088128.

The previous prime is 213088063. The next prime is 213088153. The reversal of 213088129 is 921880312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172791025 + 40297104 = 13145^2 + 6348^2 .

It is a cyclic number.

It is not a de Polignac number, because 213088129 - 2¹⁷ = 212957057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213088094 and 213088103.

It is not a weakly prime, because it can be changed into another prime (213088199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106544064 + 106544065.

It is an arithmetic number, because the mean of its divisors is an integer number (106544065).

Almost surely, 2^213088129 is an apocalyptic number.

It is an amenable number.

213088129 is a deficient number, since it is larger than the sum of its proper divisors (1).

213088129 is an equidigital number, since it uses as much as digits as its factorization.

213088129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 213088129 is about 14597.5384568769. The cubic root of 213088129 is about 597.2916159700.

The spelling of 213088129 in words is "two hundred thirteen million, eighty-eight thousand, one hundred twenty-nine".