2211101301311 has 16 divisors (see below), whose sum is σ = 2614210251840. Its totient is φ = 1829806702080.

The previous prime is 2211101301247. The next prime is 2211101301317. The reversal of 2211101301311 is 1131031011122.

It is not a de Polignac number, because 2211101301311 - 2⁶ = 2211101301247 is a prime.

It is a super-2 number, since 2×2211101301311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2211101301311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211101301317) 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, 5472071 + ... + 5862231.

It is an arithmetic number, because the mean of its divisors is an integer number (163388140740).

Almost surely, 2^{2211101301311} is an apocalyptic number.

2211101301311 is a deficient number, since it is larger than the sum of its proper divisors (403108950529).

2211101301311 is a wasteful number, since it uses less digits than its factorization.

2211101301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418114.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 2211101301311 its reverse (1131031011122), we get a palindrome (3342132312433).

The spelling of 2211101301311 in words is "two trillion, two hundred eleven billion, one hundred one million, three hundred one thousand, three hundred eleven".