21211112002013 has 2 divisors, whose sum is σ = 21211112002014. Its totient is φ = 21211112002012.

The previous prime is 21211112001991. The next prime is 21211112002097. The reversal of 21211112002013 is 31020021111212.

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., 19894615074244 + 1316496927769 = 4460338^2 + 1147387^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211112002013 - 2²² = 21211107807709 is a prime.

It is a super-2 number, since 2×21211112002013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211112001982 and 21211112002000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211112002513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605556001006 + 10605556001007.

It is an arithmetic number, because the mean of its divisors is an integer number (10605556001007).

Almost surely, 2^{21211112002013} is an apocalyptic number.

It is an amenable number.

21211112002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211112002013 is an equidigital number, since it uses as much as digits as its factorization.

21211112002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21211112002013 its reverse (31020021111212), we get a palindrome (52231133113225).

The spelling of 21211112002013 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, two thousand, thirteen".