21111011313 has 16 divisors (see below), whose sum is σ = 32176682880. Its totient is φ = 12060614016.

The previous prime is 21111011287. The next prime is 21111011329. The reversal of 21111011313 is 31311011112.

It is not a de Polignac number, because 21111011313 - 2⁹ = 21111010801 is a prime.

It is a super-2 number, since 2×21111011313² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21111011292 and 21111011301.

It is not an unprimeable number, because it can be changed into a prime (21111011413) 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, 23868 + ... + 206861.

It is an arithmetic number, because the mean of its divisors is an integer number (2011042680).

Almost surely, 2^21111011313 is an apocalyptic number.

It is an amenable number.

21111011313 is a deficient number, since it is larger than the sum of its proper divisors (11065671567).

21111011313 is a wasteful number, since it uses less digits than its factorization.

21111011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235096.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21111011313 its reverse (31311011112), we get a palindrome (52422022425).

The spelling of 21111011313 in words is "twenty-one billion, one hundred eleven million, eleven thousand, three hundred thirteen".