2213600131201 has 24 divisors (see below), whose sum is σ = 2326051848120. Its totient is φ = 2104951380480.

The previous prime is 2213600131177. The next prime is 2213600131207. The reversal of 2213600131201 is 1021310063122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 494984009601 + 1718616121600 = 703551^2 + 1310960^2 .

It is not a de Polignac number, because 2213600131201 - 2⁷ = 2213600131073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213600131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21564085 + ... + 21666493.

It is an arithmetic number, because the mean of its divisors is an integer number (96918827005).

Almost surely, 2^{2213600131201} is an apocalyptic number.

It is an amenable number.

2213600131201 is a deficient number, since it is larger than the sum of its proper divisors (112451716919).

2213600131201 is a wasteful number, since it uses less digits than its factorization.

2213600131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102725 (or 102664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2213600131201 its reverse (1021310063122), we get a palindrome (3234910194323).

The spelling of 2213600131201 in words is "two trillion, two hundred thirteen billion, six hundred million, one hundred thirty-one thousand, two hundred one".