13032111312101 has 6 divisors (see below), whose sum is σ = 15159802954950. Its totient is φ = 11170381124616.

The previous prime is 13032111312053. The next prime is 13032111312113. The reversal of 13032111312101 is 10121311123031.

It can be written as a sum of positive squares in only one way, i.e., 12413959989025 + 618151323076 = 3523345^2 + 786226^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13032111312101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032111312191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132980727626 + ... + 132980727723.

It is an arithmetic number, because the mean of its divisors is an integer number (2526633825825).

Almost surely, 2^{13032111312101} is an apocalyptic number.

It is an amenable number.

13032111312101 is a deficient number, since it is larger than the sum of its proper divisors (2127691642849).

13032111312101 is an equidigital number, since it uses as much as digits as its factorization.

13032111312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265961455363 (or 265961455356 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13032111312101 its reverse (10121311123031), we get a palindrome (23153422435132).

The spelling of 13032111312101 in words is "thirteen trillion, thirty-two billion, one hundred eleven million, three hundred twelve thousand, one hundred one".