21111310013 has 2 divisors, whose sum is σ = 21111310014. Its totient is φ = 21111310012.

The previous prime is 21111309991. The next prime is 21111310037. The reversal of 21111310013 is 31001311112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15685809049 + 5425500964 = 125243^2 + 73658^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111310013 - 2¹⁴ = 21111293629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21111310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21111315013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555655006 + 10555655007.

It is an arithmetic number, because the mean of its divisors is an integer number (10555655007).

Almost surely, 2^21111310013 is an apocalyptic number.

It is an amenable number.

21111310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111310013 is an equidigital number, since it uses as much as digits as its factorization.

21111310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 21111310013 its reverse (31001311112), we get a palindrome (52112621125).

The spelling of 21111310013 in words is "twenty-one billion, one hundred eleven million, three hundred ten thousand, thirteen".