202122313 has 2 divisors, whose sum is σ = 202122314. Its totient is φ = 202122312.

The previous prime is 202122307. The next prime is 202122329. The reversal of 202122313 is 313221202.

It is an a-pointer prime, because the next prime (202122329) can be obtained adding 202122313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123054649 + 79067664 = 11093^2 + 8892^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122313 - 2⁵ = 202122281 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061156 + 101061157.

It is an arithmetic number, because the mean of its divisors is an integer number (101061157).

Almost surely, 2^202122313 is an apocalyptic number.

It is an amenable number.

202122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122313 is an equidigital number, since it uses as much as digits as its factorization.

202122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 202122313 is about 14216.9727087028. The cubic root of 202122313 is about 586.8648338738.

Adding to 202122313 its reverse (313221202), we get a palindrome (515343515).

The spelling of 202122313 in words is "two hundred two million, one hundred twenty-two thousand, three hundred thirteen".