13020301312101 has 6 divisors (see below), whose sum is σ = 18807101895270. Its totient is φ = 8680200874728.

The previous prime is 13020301312099. The next prime is 13020301312141. The reversal of 13020301312101 is 10121310302031.

13020301312101 is a `hidden beast` number, since 1 + 30 + 20 + 301 + 312 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13018926830625 + 1374481476 = 3608175^2 + 37074^2 .

It is not a de Polignac number, because 13020301312101 - 2¹ = 13020301312099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020301312141) 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 5 ways as a sum of consecutive naturals, for example, 723350072886 + ... + 723350072903.

It is an arithmetic number, because the mean of its divisors is an integer number (3134516982545).

Almost surely, 2^{13020301312101} is an apocalyptic number.

It is an amenable number.

13020301312101 is a deficient number, since it is larger than the sum of its proper divisors (5786800583169).

13020301312101 is a wasteful number, since it uses less digits than its factorization.

13020301312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446700145795 (or 1446700145792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13020301312101 its reverse (10121310302031), we get a palindrome (23141611614132).

The spelling of 13020301312101 in words is "thirteen trillion, twenty billion, three hundred one million, three hundred twelve thousand, one hundred one".