213424541331201 has 48 divisors (see below), whose sum is σ = 332055964880640. Its totient is φ = 131658034042080.

The previous prime is 213424541331191. The next prime is 213424541331263. The reversal of 213424541331201 is 102133145424312.

213424541331201 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 4 + 5 + 413 + 31 + 201 = 666.

213424541331201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213424541331201 - 2¹⁸ = 213424541069057 is a prime.

It is a super-2 number, since 2×213424541331201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213424541332201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856551406 + ... + 856800536.

It is an arithmetic number, because the mean of its divisors is an integer number (6917832601680).

Almost surely, 2^{213424541331201} is an apocalyptic number.

It is an amenable number.

213424541331201 is a deficient number, since it is larger than the sum of its proper divisors (118631423549439).

213424541331201 is a wasteful number, since it uses less digits than its factorization.

213424541331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365706 (or 365703 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 213424541331201 its reverse (102133145424312), we get a palindrome (315557686755513).

The spelling of 213424541331201 in words is "two hundred thirteen trillion, four hundred twenty-four billion, five hundred forty-one million, three hundred thirty-one thousand, two hundred one".