213120201001 has 2 divisors, whose sum is σ = 213120201002. Its totient is φ = 213120201000.

The previous prime is 213120200989. The next prime is 213120201017. The reversal of 213120201001 is 100102021312.

213120201001 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., 126199010025 + 86921190976 = 355245^2 + 294824^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120201001 - 2¹⁹ = 213119676713 is a prime.

It is not a weakly prime, because it can be changed into another prime (213120201071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560100500 + 106560100501.

It is an arithmetic number, because the mean of its divisors is an integer number (106560100501).

Almost surely, 2^213120201001 is an apocalyptic number.

It is an amenable number.

213120201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120201001 is an equidigital number, since it uses as much as digits as its factorization.

213120201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213120201001 its reverse (100102021312), we get a palindrome (313222222313).

The spelling of 213120201001 in words is "two hundred thirteen billion, one hundred twenty million, two hundred one thousand, one".