21000022011013 has 2 divisors, whose sum is σ = 21000022011014. Its totient is φ = 21000022011012.

The previous prime is 21000022010993. The next prime is 21000022011047. The reversal of 21000022011013 is 31011022000012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20997491619204 + 2530391809 = 4582302^2 + 50303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21000022011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21000022010984 and 21000022011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21000022011413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500011005506 + 10500011005507.

It is an arithmetic number, because the mean of its divisors is an integer number (10500011005507).

Almost surely, 2^{21000022011013} is an apocalyptic number.

It is an amenable number.

21000022011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000022011013 is an equidigital number, since it uses as much as digits as its factorization.

21000022011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21000022011013 its reverse (31011022000012), we get a palindrome (52011044011025).

The spelling of 21000022011013 in words is "twenty-one trillion, twenty-two million, eleven thousand, thirteen".