21311331003331 has 16 divisors (see below), whose sum is σ = 21512126979360. Its totient is φ = 21110753198080.

The previous prime is 21311331003311. The next prime is 21311331003341. The reversal of 21311331003331 is 13330013311312.

It is a cyclic number.

It is not a de Polignac number, because 21311331003331 - 2³¹ = 21309183519683 is a prime.

It is a super-2 number, since 2×21311331003331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21311331003296 and 21311331003305.

It is not an unprimeable number, because it can be changed into a prime (21311331003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2570413296 + ... + 2570421586.

It is an arithmetic number, because the mean of its divisors is an integer number (1344507936210).

Almost surely, 2^{21311331003331} is an apocalyptic number.

21311331003331 is a deficient number, since it is larger than the sum of its proper divisors (200795976029).

21311331003331 is a wasteful number, since it uses less digits than its factorization.

21311331003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18566.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 21311331003331 its reverse (13330013311312), we get a palindrome (34641344314643).

The spelling of 21311331003331 in words is "twenty-one trillion, three hundred eleven billion, three hundred thirty-one million, three thousand, three hundred thirty-one".