1003131320033 has 2 divisors, whose sum is σ = 1003131320034. Its totient is φ = 1003131320032.

The previous prime is 1003131319999. The next prime is 1003131320039. The reversal of 1003131320033 is 3300231313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 654267441424 + 348863878609 = 808868^2 + 590647^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003131320033 - 2¹² = 1003131315937 is a prime.

It is a super-2 number, since 2×1003131320033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003131319987 and 1003131320014.

It is not a weakly prime, because it can be changed into another prime (1003131320039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501565660016 + 501565660017.

It is an arithmetic number, because the mean of its divisors is an integer number (501565660017).

Almost surely, 2^{1003131320033} is an apocalyptic number.

It is an amenable number.

1003131320033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003131320033 is an equidigital number, since it uses as much as digits as its factorization.

1003131320033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1003131320033 its reverse (3300231313001), we get a palindrome (4303362633034).

The spelling of 1003131320033 in words is "one trillion, three billion, one hundred thirty-one million, three hundred twenty thousand, thirty-three".