220313311249 has 2 divisors, whose sum is σ = 220313311250. Its totient is φ = 220313311248.

The previous prime is 220313311181. The next prime is 220313311271. The reversal of 220313311249 is 942113313022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172092225600 + 48221085649 = 414840^2 + 219593^2 .

It is a cyclic number.

It is not a de Polignac number, because 220313311249 - 2²⁷ = 220179093521 is a prime.

It is a super-2 number, since 2×220313311249² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220313311249.

It is not a weakly prime, because it can be changed into another prime (220313311649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110156655624 + 110156655625.

It is an arithmetic number, because the mean of its divisors is an integer number (110156655625).

Almost surely, 2^220313311249 is an apocalyptic number.

It is an amenable number.

220313311249 is a deficient number, since it is larger than the sum of its proper divisors (1).

220313311249 is an equidigital number, since it uses as much as digits as its factorization.

220313311249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 220313311249 in words is "two hundred twenty billion, three hundred thirteen million, three hundred eleven thousand, two hundred forty-nine".