13005061021311 has 8 divisors (see below), whose sum is σ = 17341585709184. Its totient is φ = 8669288507160.

The previous prime is 13005061021223. The next prime is 13005061021319. The reversal of 13005061021311 is 11312016050031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13005061021311 - 2²³ = 13005052632703 is a prime.

It is a super-2 number, since 2×13005061021311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005061021319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188003085 + ... + 188072246.

It is an arithmetic number, because the mean of its divisors is an integer number (2167698213648).

Almost surely, 2^{13005061021311} is an apocalyptic number.

13005061021311 is a deficient number, since it is larger than the sum of its proper divisors (4336524687873).

13005061021311 is a wasteful number, since it uses less digits than its factorization.

13005061021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376086861.

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 13005061021311 its reverse (11312016050031), we get a palindrome (24317077071342).

The spelling of 13005061021311 in words is "thirteen trillion, five billion, sixty-one million, twenty-one thousand, three hundred eleven".