2211100132313 has 16 divisors (see below), whose sum is σ = 2255028458256. Its totient is φ = 2167254835200.

The previous prime is 2211100132291. The next prime is 2211100132343. The reversal of 2211100132313 is 3132310011122.

It is a happy number.

2211100132313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3150801424 + 2207949330889 = 56132^2 + 1485917^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211100132313 - 2⁸ = 2211100132057 is a prime.

It is a super-2 number, since 2×2211100132313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211100132343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446053631 + ... + 446058587.

It is an arithmetic number, because the mean of its divisors is an integer number (140939278641).

Almost surely, 2^{2211100132313} is an apocalyptic number.

It is an amenable number.

2211100132313 is a deficient number, since it is larger than the sum of its proper divisors (43928325943).

2211100132313 is a wasteful number, since it uses less digits than its factorization.

2211100132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2211100132313 its reverse (3132310011122), we get a palindrome (5343410143435).

The spelling of 2211100132313 in words is "two trillion, two hundred eleven billion, one hundred million, one hundred thirty-two thousand, three hundred thirteen".