21101002012313 has 8 divisors (see below), whose sum is σ = 22344599104200. Its totient is φ = 19857667329280.

The previous prime is 21101002012291. The next prime is 21101002012367. The reversal of 21101002012313 is 31321020010112.

It can be written as a sum of positive squares in 4 ways, for example, as 1770488376409 + 19330513635904 = 1330597^2 + 4396648^2 .

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 21101002012313 - 2²² = 21100997818009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 21101002012291 and 21101002012300.

It is not an unprimeable number, because it can be changed into a prime (21101002012913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65436638 + ... + 65758311.

It is an arithmetic number, because the mean of its divisors is an integer number (2793074888025).

Almost surely, 2^{21101002012313} is an apocalyptic number.

It is an amenable number.

21101002012313 is a deficient number, since it is larger than the sum of its proper divisors (1243597091887).

21101002012313 is a wasteful number, since it uses less digits than its factorization.

21101002012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131204427.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21101002012313 its reverse (31321020010112), we get a palindrome (52422022022425).

The spelling of 21101002012313 in words is "twenty-one trillion, one hundred one billion, two million, twelve thousand, three hundred thirteen".