213213428401 has 2 divisors, whose sum is σ = 213213428402. Its totient is φ = 213213428400.

The previous prime is 213213428383. The next prime is 213213428437. The reversal of 213213428401 is 104824312312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202364122801 + 10849305600 = 449849^2 + 104160^2 .

It is a cyclic number.

It is not a de Polignac number, because 213213428401 - 2³⁷ = 75774474929 is a prime.

It is not a weakly prime, because it can be changed into another prime (213213228401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606714200 + 106606714201.

It is an arithmetic number, because the mean of its divisors is an integer number (106606714201).

Almost surely, 2^213213428401 is an apocalyptic number.

It is an amenable number.

213213428401 is a deficient number, since it is larger than the sum of its proper divisors (1).

213213428401 is an equidigital number, since it uses as much as digits as its factorization.

213213428401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 213213428401 in words is "two hundred thirteen billion, two hundred thirteen million, four hundred twenty-eight thousand, four hundred one".