13001201101001 has 16 divisors (see below), whose sum is σ = 14364670045824. Its totient is φ = 11704266249984.

The previous prime is 13001201100959. The next prime is 13001201101061. The reversal of 13001201101001 is 10010110210031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13001201101001 - 2¹⁰ = 13001201099977 is a prime.

It is a super-2 number, since 2×13001201101001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001201101061) 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 15 ways as a sum of consecutive naturals, for example, 46713611 + ... + 46991103.

It is an arithmetic number, because the mean of its divisors is an integer number (897791877864).

Almost surely, 2^{13001201101001} is an apocalyptic number.

It is an amenable number.

13001201101001 is a deficient number, since it is larger than the sum of its proper divisors (1363468944823).

13001201101001 is a wasteful number, since it uses less digits than its factorization.

13001201101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397360.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 13001201101001 its reverse (10010110210031), we get a palindrome (23011311311032).

The spelling of 13001201101001 in words is "thirteen trillion, one billion, two hundred one million, one hundred one thousand, one".