21312100013 has 8 divisors (see below), whose sum is σ = 21381328128. Its totient is φ = 21242922624.

The previous prime is 21312099983. The next prime is 21312100021. The reversal of 21312100013 is 31000121312.

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 21312100013 - 2¹⁰ = 21312098989 is a prime.

It is a super-2 number, since 2×21312100013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312103013) 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, 944420 + ... + 966722.

It is an arithmetic number, because the mean of its divisors is an integer number (2672666016).

Almost surely, 2^21312100013 is an apocalyptic number.

It is an amenable number.

21312100013 is a deficient number, since it is larger than the sum of its proper divisors (69228115).

21312100013 is a wasteful number, since it uses less digits than its factorization.

21312100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25363.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21312100013 its reverse (31000121312), we get a palindrome (52312221325).

The spelling of 21312100013 in words is "twenty-one billion, three hundred twelve million, one hundred thousand, thirteen".