2003131213273 has 2 divisors, whose sum is σ = 2003131213274. Its totient is φ = 2003131213272.

The previous prime is 2003131213201. The next prime is 2003131213333. The reversal of 2003131213273 is 3723121313002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1229519492569 + 773611720704 = 1108837^2 + 879552^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003131213273 - 2¹⁷ = 2003131082201 is a prime.

It is a super-2 number, since 2×2003131213273² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2003131283273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001565606636 + 1001565606637.

It is an arithmetic number, because the mean of its divisors is an integer number (1001565606637).

Almost surely, 2^{2003131213273} is an apocalyptic number.

It is an amenable number.

2003131213273 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003131213273 is an equidigital number, since it uses as much as digits as its factorization.

2003131213273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 2003131213273 its reverse (3723121313002), we get a palindrome (5726252526275).

The spelling of 2003131213273 in words is "two trillion, three billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred seventy-three".