203002032121313 has 2 divisors, whose sum is σ = 203002032121314. Its totient is φ = 203002032121312.

The previous prime is 203002032121169. The next prime is 203002032121319. The reversal of 203002032121313 is 313121230200302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108643577707729 + 94358454413584 = 10423223^2 + 9713828^2 .

It is a cyclic number.

It is not a de Polignac number, because 203002032121313 - 2¹⁰ = 203002032120289 is a prime.

It is not a weakly prime, because it can be changed into another prime (203002032121319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101501016060656 + 101501016060657.

It is an arithmetic number, because the mean of its divisors is an integer number (101501016060657).

Almost surely, 2^{203002032121313} is an apocalyptic number.

It is an amenable number.

203002032121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

203002032121313 is an equidigital number, since it uses as much as digits as its factorization.

203002032121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 203002032121313 its reverse (313121230200302), we get a palindrome (516123262321615).

The spelling of 203002032121313 in words is "two hundred three trillion, two billion, thirty-two million, one hundred twenty-one thousand, three hundred thirteen".