21003123332113 has 8 divisors (see below), whose sum is σ = 23230065723368. Its totient is φ = 18863512015104.

The previous prime is 21003123332101. The next prime is 21003123332119. The reversal of 21003123332113 is 31123332130012.

It can be written as a sum of positive squares in 4 ways, for example, as 3740619028624 + 17262504303489 = 1934068^2 + 4154817^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21003123332113 - 2³³ = 20994533397521 is a prime.

It is a super-2 number, since 2×21003123332113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21003123332119) 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 7 ways as a sum of consecutive naturals, for example, 21832768056 + ... + 21832769017.

It is an arithmetic number, because the mean of its divisors is an integer number (2903758215421).

Almost surely, 2^{21003123332113} is an apocalyptic number.

It is an amenable number.

21003123332113 is a deficient number, since it is larger than the sum of its proper divisors (2226942391255).

21003123332113 is a wasteful number, since it uses less digits than its factorization.

21003123332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43665537123.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 21003123332113 its reverse (31123332130012), we get a palindrome (52126455462125).

The spelling of 21003123332113 in words is "twenty-one trillion, three billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred thirteen".