1003310131013 has 2 divisors, whose sum is σ = 1003310131014. Its totient is φ = 1003310131012.

The previous prime is 1003310131003. The next prime is 1003310131027. The reversal of 1003310131013 is 3101310133001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 638540033569 + 364770097444 = 799087^2 + 603962^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003310131013 - 2²⁶ = 1003243022149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003310130982 and 1003310131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003310131003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501655065506 + 501655065507.

It is an arithmetic number, because the mean of its divisors is an integer number (501655065507).

Almost surely, 2^{1003310131013} is an apocalyptic number.

It is an amenable number.

1003310131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003310131013 is an equidigital number, since it uses as much as digits as its factorization.

1003310131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1003310131013 its reverse (3101310133001), we get a palindrome (4104620264014).

The spelling of 1003310131013 in words is "one trillion, three billion, three hundred ten million, one hundred thirty-one thousand, thirteen".