13003312203031 has 2 divisors, whose sum is σ = 13003312203032. Its totient is φ = 13003312203030.

The previous prime is 13003312202917. The next prime is 13003312203103. The reversal of 13003312203031 is 13030221330031.

13003312203031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13003312203103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13003312203031 - 2²⁵ = 13003278648599 is a prime.

It is a super-2 number, since 2×13003312203031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13003312202993 and 13003312203011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003312203731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501656101515 + 6501656101516.

It is an arithmetic number, because the mean of its divisors is an integer number (6501656101516).

Almost surely, 2^{13003312203031} is an apocalyptic number.

13003312203031 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003312203031 is an equidigital number, since it uses as much as digits as its factorization.

13003312203031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13003312203031 its reverse (13030221330031), we get a palindrome (26033533533062).

The spelling of 13003312203031 in words is "thirteen trillion, three billion, three hundred twelve million, two hundred three thousand, thirty-one".