21101112220313 has 2 divisors, whose sum is σ = 21101112220314. Its totient is φ = 21101112220312.

The previous prime is 21101112220303. The next prime is 21101112220333. The reversal of 21101112220313 is 31302221110112.

It is an a-pointer prime, because the next prime (21101112220333) can be obtained adding 21101112220313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18449060886169 + 2652051334144 = 4295237^2 + 1628512^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101112220313 - 2²⁴ = 21101095443097 is a prime.

It is not a weakly prime, because it can be changed into another prime (21101112220303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550556110156 + 10550556110157.

It is an arithmetic number, because the mean of its divisors is an integer number (10550556110157).

Almost surely, 2^{21101112220313} is an apocalyptic number.

It is an amenable number.

21101112220313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101112220313 is an equidigital number, since it uses as much as digits as its factorization.

21101112220313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21101112220313 its reverse (31302221110112), we get a palindrome (52403333330425).

The spelling of 21101112220313 in words is "twenty-one trillion, one hundred one billion, one hundred twelve million, two hundred twenty thousand, three hundred thirteen".