13111220301201 has 192 divisors, whose sum is σ = 22958540467200. Its totient is φ = 7119843494400.

The previous prime is 13111220301131. The next prime is 13111220301203. The reversal of 13111220301201 is 10210302211131.

13111220301201 is a `hidden beast` number, since 1 + 31 + 112 + 20 + 301 + 201 = 666.

It is not a de Polignac number, because 13111220301201 - 2¹⁰ = 13111220300177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13111220301203) 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 191 ways as a sum of consecutive naturals, for example, 1997744746 + ... + 1997751308.

It is an arithmetic number, because the mean of its divisors is an integer number (119575731600).

Almost surely, 2^{13111220301201} is an apocalyptic number.

13111220301201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13111220301201 is a deficient number, since it is larger than the sum of its proper divisors (9847320165999).

13111220301201 is a wasteful number, since it uses less digits than its factorization.

13111220301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13111220301201 its reverse (10210302211131), we get a palindrome (23321522512332).

The spelling of 13111220301201 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty million, three hundred one thousand, two hundred one".