213301606401 has 48 divisors (see below), whose sum is σ = 349798490496. Its totient is φ = 124260922368.

The previous prime is 213301606379. The next prime is 213301606421. The reversal of 213301606401 is 104606103312.

213301606401 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 16 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 213301606401 - 2⁹ = 213301605889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213301606421) 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, 147555 + ... + 669608.

It is an arithmetic number, because the mean of its divisors is an integer number (7287468552).

Almost surely, 2^213301606401 is an apocalyptic number.

It is an amenable number.

213301606401 is a deficient number, since it is larger than the sum of its proper divisors (136496884095).

213301606401 is a wasteful number, since it uses less digits than its factorization.

213301606401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817302 (or 817299 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213301606401 its reverse (104606103312), we get a palindrome (317907709713).

The spelling of 213301606401 in words is "two hundred thirteen billion, three hundred one million, six hundred six thousand, four hundred one".