2003120233313 has 2 divisors, whose sum is σ = 2003120233314. Its totient is φ = 2003120233312.

The previous prime is 2003120233291. The next prime is 2003120233327. The reversal of 2003120233313 is 3133320213002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1670315853649 + 332804379664 = 1292407^2 + 576892^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003120233313 - 2²² = 2003116039009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2003120239313) 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, 1001560116656 + 1001560116657.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560116657).

Almost surely, 2^{2003120233313} is an apocalyptic number.

It is an amenable number.

2003120233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003120233313 is an equidigital number, since it uses as much as digits as its factorization.

2003120233313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2003120233313 its reverse (3133320213002), we get a palindrome (5136440446315).

The spelling of 2003120233313 in words is "two trillion, three billion, one hundred twenty million, two hundred thirty-three thousand, three hundred thirteen".