13010010305 has 16 divisors (see below), whose sum is σ = 16160115600. Its totient is φ = 10043040000.

The previous prime is 13010010301. The next prime is 13010010311. The reversal of 13010010305 is 50301001031.

It can be written as a sum of positive squares in 8 ways, for example, as 1408350784 + 11601659521 = 37528^2 + 107711^2 .

It is not a de Polignac number, because 13010010305 - 2² = 13010010301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13010010305.

It is not an unprimeable number, because it can be changed into a prime (13010010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221555 + ... + 274055.

It is an arithmetic number, because the mean of its divisors is an integer number (1010007225).

Almost surely, 2^13010010305 is an apocalyptic number.

It is an amenable number.

13010010305 is a deficient number, since it is larger than the sum of its proper divisors (3150105295).

13010010305 is a wasteful number, since it uses less digits than its factorization.

13010010305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54244.

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 13010010305 its reverse (50301001031), we get a palindrome (63311011336).

The spelling of 13010010305 in words is "thirteen billion, ten million, ten thousand, three hundred five".