21101330013 has 16 divisors (see below), whose sum is σ = 29362237440. Its totient is φ = 13454149104.

The previous prime is 21101329987. The next prime is 21101330017. The reversal of 21101330013 is 31003310112.

It is not a de Polignac number, because 21101330013 - 2²⁰ = 21100281437 is a prime.

It is a super-2 number, since 2×21101330013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21101329974 and 21101330001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101330017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685920 + ... + 716022.

It is an arithmetic number, because the mean of its divisors is an integer number (1835139840).

Almost surely, 2^21101330013 is an apocalyptic number.

21101330013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21101330013 is a deficient number, since it is larger than the sum of its proper divisors (8260907427).

21101330013 is a wasteful number, since it uses less digits than its factorization.

21101330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40288.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 21101330013 its reverse (31003310112), we get a palindrome (52104640125).

The spelling of 21101330013 in words is "twenty-one billion, one hundred one million, three hundred thirty thousand, thirteen".