13005116377 has 4 divisors (see below), whose sum is σ = 14187399696. Its totient is φ = 11822833060.

The previous prime is 13005116351. The next prime is 13005116387. The reversal of 13005116377 is 77361150031.

13005116377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13005116377 is a prime.

It is a super-2 number, since 2×13005116377² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005116317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591141643 + ... + 591141664.

It is an arithmetic number, because the mean of its divisors is an integer number (3546849924).

Almost surely, 2^13005116377 is an apocalyptic number.

It is an amenable number.

13005116377 is a deficient number, since it is larger than the sum of its proper divisors (1182283319).

13005116377 is a wasteful number, since it uses less digits than its factorization.

13005116377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182283318.

The product of its (nonzero) digits is 13230, while the sum is 34.

The spelling of 13005116377 in words is "thirteen billion, five million, one hundred sixteen thousand, three hundred seventy-seven".