112311101113211 has 24 divisors (see below), whose sum is σ = 151937713408992. Its totient is φ = 80783209584000.

The previous prime is 112311101113207. The next prime is 112311101113247.

112311101113211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112311101113211 - 2² = 112311101113207 is a prime.

It is a super-2 number, since 2×112311101113211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112311101013211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5099939090 + ... + 5099961111.

It is an arithmetic number, because the mean of its divisors is an integer number (6330738058708).

Almost surely, 2^{112311101113211} is an apocalyptic number.

112311101113211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112311101113211 is a deficient number, since it is larger than the sum of its proper divisors (39626612295781).

112311101113211 is a wasteful number, since it uses less digits than its factorization.

112311101113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199900243 (or 10199900232 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 20.

It can be divided in two parts, 11231110 and 1113211, that added together give a palindrome (12344321).

The spelling of 112311101113211 in words is "one hundred twelve trillion, three hundred eleven billion, one hundred one million, one hundred thirteen thousand, two hundred eleven".