213013332001 has 4 divisors (see below), whose sum is σ = 213107214100. Its totient is φ = 212919449904.

The previous prime is 213013331941. The next prime is 213013332041. The reversal of 213013332001 is 100233310312.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 96254442001 + 116758890000 = 310249^2 + 341700^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013332001 - 2¹⁷ = 213013200929 is a prime.

It is a super-2 number, since 2×213013332001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213013332001.

It is not an unprimeable number, because it can be changed into a prime (213013332041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46937646 + ... + 46942183.

It is an arithmetic number, because the mean of its divisors is an integer number (53276803525).

Almost surely, 2^213013332001 is an apocalyptic number.

It is an amenable number.

213013332001 is a deficient number, since it is larger than the sum of its proper divisors (93882099).

213013332001 is an equidigital number, since it uses as much as digits as its factorization.

213013332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93882098.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213013332001 its reverse (100233310312), we get a palindrome (313246642313).

The spelling of 213013332001 in words is "two hundred thirteen billion, thirteen million, three hundred thirty-two thousand, one".