10220210205313 has 2 divisors, whose sum is σ = 10220210205314. Its totient is φ = 10220210205312.

The previous prime is 10220210205307. The next prime is 10220210205379. The reversal of 10220210205313 is 31350201202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7130518111809 + 3089692093504 = 2670303^2 + 1757752^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220210205313 is a prime.

It is a super-2 number, since 2×10220210205313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10220210205713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110105102656 + 5110105102657.

It is an arithmetic number, because the mean of its divisors is an integer number (5110105102657).

Almost surely, 2^{10220210205313} is an apocalyptic number.

It is an amenable number.

10220210205313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220210205313 is an equidigital number, since it uses as much as digits as its factorization.

10220210205313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10220210205313 its reverse (31350201202201), we get a palindrome (41570411407514).

The spelling of 10220210205313 in words is "ten trillion, two hundred twenty billion, two hundred ten million, two hundred five thousand, three hundred thirteen".