13111133112301 has 12 divisors (see below), whose sum is σ = 16148886643548. Its totient is φ = 10577048560512.

The previous prime is 13111133112281. The next prime is 13111133112313. The reversal of 13111133112301 is 10321133111131.

It can be written as a sum of positive squares in 2 ways, for example, as 10412173704100 + 2698959408201 = 3226790^2 + 1642851^2 .

It is not a de Polignac number, because 13111133112301 - 2⁵ = 13111133112269 is a prime.

It is a super-2 number, since 2×13111133112301² (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 (13111133118301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7869826966 + ... + 7869828631.

It is an arithmetic number, because the mean of its divisors is an integer number (1345740553629).

Almost surely, 2^{13111133112301} is an apocalyptic number.

It is an amenable number.

13111133112301 is a deficient number, since it is larger than the sum of its proper divisors (3037753531247).

13111133112301 is a wasteful number, since it uses less digits than its factorization.

13111133112301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15739655628 (or 15739655621 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 13111133112301 its reverse (10321133111131), we get a palindrome (23432266223432).

The spelling of 13111133112301 in words is "thirteen trillion, one hundred eleven billion, one hundred thirty-three million, one hundred twelve thousand, three hundred one".