13000959721305 has 32 divisors (see below), whose sum is σ = 23737488028800. Its totient is φ = 6746443960896.

The previous prime is 13000959721223. The next prime is 13000959721381. The reversal of 13000959721305 is 50312795900031.

13000959721305 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 9 + 597 + 21 + 30 + 5 = 666.

It is not a de Polignac number, because 13000959721305 - 2⁸ = 13000959721049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301392375 + ... + 1301402364.

It is an arithmetic number, because the mean of its divisors is an integer number (741796500900).

Almost surely, 2^{13000959721305} is an apocalyptic number.

13000959721305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13000959721305 is a deficient number, since it is larger than the sum of its proper divisors (10736528307495).

13000959721305 is a wasteful number, since it uses less digits than its factorization.

13000959721305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602794790 (or 2602794784 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 13000959721305 in words is "thirteen trillion, nine hundred fifty-nine million, seven hundred twenty-one thousand, three hundred five".