13133223300313 has 2 divisors, whose sum is σ = 13133223300314. Its totient is φ = 13133223300312.

The previous prime is 13133223300277. The next prime is 13133223300317. The reversal of 13133223300313 is 31300332233131.

13133223300313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11501132734224 + 1632090566089 = 3391332^2 + 1277533^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133223300313 - 2²¹ = 13133221203161 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133223300317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566611650156 + 6566611650157.

It is an arithmetic number, because the mean of its divisors is an integer number (6566611650157).

Almost surely, 2^{13133223300313} is an apocalyptic number.

It is an amenable number.

13133223300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133223300313 is an equidigital number, since it uses as much as digits as its factorization.

13133223300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13133223300313 its reverse (31300332233131), we get a palindrome (44433555533444).

The spelling of 13133223300313 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twenty-three million, three hundred thousand, three hundred thirteen".