213020104401 has 72 divisors (see below), whose sum is σ = 344922800040. Its totient is φ = 125925511680.

The previous prime is 213020104397. The next prime is 213020104457. The reversal of 213020104401 is 104401020312.

213020104401 is a `hidden beast` number, since 21 + 3 + 0 + 201 + 0 + 440 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 498182400 + 212521922001 = 22320^2 + 461001^2 .

It is not a de Polignac number, because 213020104401 - 2² = 213020104397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213020104201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15396955 + ... + 15410783.

It is an arithmetic number, because the mean of its divisors is an integer number (4790594445).

Almost surely, 2^213020104401 is an apocalyptic number.

It is an amenable number.

213020104401 is a deficient number, since it is larger than the sum of its proper divisors (131902695639).

213020104401 is a wasteful number, since it uses less digits than its factorization.

213020104401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213020104401 its reverse (104401020312), we get a palindrome (317421124713).

The spelling of 213020104401 in words is "two hundred thirteen billion, twenty million, one hundred four thousand, four hundred one".