211011231301311 has 32 divisors (see below), whose sum is σ = 324111778421760. Its totient is φ = 119614992535296.

The previous prime is 211011231301289. The next prime is 211011231301327. The reversal of 211011231301311 is 113103132110112.

It is not a de Polignac number, because 211011231301311 - 2²⁵ = 211011197746879 is a prime.

It is a super-2 number, since 2×211011231301311² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011231301111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21180516 + ... + 29506553.

It is an arithmetic number, because the mean of its divisors is an integer number (10128493075680).

Almost surely, 2^{211011231301311} is an apocalyptic number.

211011231301311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211011231301311 is a deficient number, since it is larger than the sum of its proper divisors (113100547120449).

211011231301311 is a wasteful number, since it uses less digits than its factorization.

211011231301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50688663.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 211011231301311 its reverse (113103132110112), we get a palindrome (324114363411423).

The spelling of 211011231301311 in words is "two hundred eleven trillion, eleven billion, two hundred thirty-one million, three hundred one thousand, three hundred eleven".