21130110013 has 24 divisors (see below), whose sum is σ = 22020139008. Its totient is φ = 20267458848.

The previous prime is 21130110011. The next prime is 21130110041. The reversal of 21130110013 is 31001103112.

It is not a de Polignac number, because 21130110013 - 2¹ = 21130110011 is a prime.

It is a super-2 number, since 2×21130110013² (a number of 21 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 = 21130109975 and 21130110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130110011) 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, 42007920 + ... + 42008422.

It is an arithmetic number, because the mean of its divisors is an integer number (917505792).

Almost surely, 2^21130110013 is an apocalyptic number.

It is an amenable number.

21130110013 is a deficient number, since it is larger than the sum of its proper divisors (890028995).

21130110013 is an equidigital number, since it uses as much as digits as its factorization.

21130110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 21130110013 its reverse (31001103112), we get a palindrome (52131213125).

The spelling of 21130110013 in words is "twenty-one billion, one hundred thirty million, one hundred ten thousand, thirteen".