13000101233309 has 2 divisors, whose sum is σ = 13000101233310. Its totient is φ = 13000101233308.

The previous prime is 13000101233291. The next prime is 13000101233323. The reversal of 13000101233309 is 90333210100031.

13000101233309 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., 7758648139225 + 5241453094084 = 2785435^2 + 2289422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000101233309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000101133309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500050616654 + 6500050616655.

It is an arithmetic number, because the mean of its divisors is an integer number (6500050616655).

Almost surely, 2^{13000101233309} is an apocalyptic number.

It is an amenable number.

13000101233309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000101233309 is an equidigital number, since it uses as much as digits as its factorization.

13000101233309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 13000101233309 in words is "thirteen trillion, one hundred one million, two hundred thirty-three thousand, three hundred nine".