21312123000013 has 2 divisors, whose sum is σ = 21312123000014. Its totient is φ = 21312123000012.

The previous prime is 21312122999983. The next prime is 21312123000029. The reversal of 21312123000013 is 31000032121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15178169270889 + 6133953729124 = 3895917^2 + 2476682^2 .

It is a cyclic number.

It is not a de Polignac number, because 21312123000013 - 2⁹ = 21312122999501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21312123000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656061500006 + 10656061500007.

It is an arithmetic number, because the mean of its divisors is an integer number (10656061500007).

Almost surely, 2^{21312123000013} is an apocalyptic number.

It is an amenable number.

21312123000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312123000013 is an equidigital number, since it uses as much as digits as its factorization.

21312123000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21312123000013 its reverse (31000032121312), we get a palindrome (52312155121325).

The spelling of 21312123000013 in words is "twenty-one trillion, three hundred twelve billion, one hundred twenty-three million, thirteen", and thus it is an aban number.