1002202123313 has 2 divisors, whose sum is σ = 1002202123314. Its totient is φ = 1002202123312.

The previous prime is 1002202123283. The next prime is 1002202123367. The reversal of 1002202123313 is 3133212022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999064219024 + 3137904289 = 999532^2 + 56017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002202123313 is a prime.

It is a super-3 number, since 3×1002202123313³ (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1002202126313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501101061656 + 501101061657.

It is an arithmetic number, because the mean of its divisors is an integer number (501101061657).

Almost surely, 2^{1002202123313} is an apocalyptic number.

It is an amenable number.

1002202123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002202123313 is an equidigital number, since it uses as much as digits as its factorization.

1002202123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1002202123313 its reverse (3133212022001), we get a palindrome (4135414145314).

The spelling of 1002202123313 in words is "one trillion, two billion, two hundred two million, one hundred twenty-three thousand, three hundred thirteen".