13001312121011 has 8 divisors (see below), whose sum is σ = 13086244442880. Its totient is φ = 12916516458312.

The previous prime is 13001312120999. The next prime is 13001312121073. The reversal of 13001312121011 is 11012121310031.

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

It is a cyclic number.

It is not a de Polignac number, because 13001312121011 - 2²² = 13001307926707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001312123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33973895 + ... + 34354448.

It is an arithmetic number, because the mean of its divisors is an integer number (1635780555360).

Almost surely, 2^{13001312121011} is an apocalyptic number.

13001312121011 is a deficient number, since it is larger than the sum of its proper divisors (84932321869).

13001312121011 is a wasteful number, since it uses less digits than its factorization.

13001312121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68329585.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13001312121011 its reverse (11012121310031), we get a palindrome (24013433431042).

The spelling of 13001312121011 in words is "thirteen trillion, one billion, three hundred twelve million, one hundred twenty-one thousand, eleven".