21311112121033 has 16 divisors (see below), whose sum is σ = 26225325279360. Its totient is φ = 16900765168896.

The previous prime is 21311112120997. The next prime is 21311112121063. The reversal of 21311112121033 is 33012121111312.

It is not a de Polignac number, because 21311112121033 - 2⁹ = 21311112120521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21311112120995 and 21311112121013.

It is not an unprimeable number, because it can be changed into a prime (21311112121063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517662266 + ... + 1517676307.

It is an arithmetic number, because the mean of its divisors is an integer number (1639082829960).

Almost surely, 2^{21311112121033} is an apocalyptic number.

It is an amenable number.

21311112121033 is a deficient number, since it is larger than the sum of its proper divisors (4914213158327).

21311112121033 is a wasteful number, since it uses less digits than its factorization.

21311112121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035338656.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 21311112121033 its reverse (33012121111312), we get a palindrome (54323233232345).

It can be divided in two parts, 213111 and 12121033, that added together give a square (12334144 = 3512²).

The spelling of 21311112121033 in words is "twenty-one trillion, three hundred eleven billion, one hundred twelve million, one hundred twenty-one thousand, thirty-three".