100202022313 has 2 divisors, whose sum is σ = 100202022314. Its totient is φ = 100202022312.

The previous prime is 100202022289. The next prime is 100202022317. The reversal of 100202022313 is 313220202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67676981904 + 32525040409 = 260148^2 + 180347^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202022313 - 2⁵ = 100202022281 is a prime.

It is a super-2 number, since 2×100202022313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100202022317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101011156 + 50101011157.

It is an arithmetic number, because the mean of its divisors is an integer number (50101011157).

Almost surely, 2^100202022313 is an apocalyptic number.

It is an amenable number.

100202022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202022313 is an equidigital number, since it uses as much as digits as its factorization.

100202022313 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 16.

Adding to 100202022313 its reverse (313220202001), we get a palindrome (413422224314).

The spelling of 100202022313 in words is "one hundred billion, two hundred two million, twenty-two thousand, three hundred thirteen".