13300103131101 has 24 divisors (see below), whose sum is σ = 20132007378240. Its totient is φ = 8678081436696.

The previous prime is 13300103131067. The next prime is 13300103131103. The reversal of 13300103131101 is 10113130100331.

13300103131101 is a `hidden beast` number, since 1 + 330 + 0 + 10 + 313 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 13300103131101 - 2⁷ = 13300103130973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300103131103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111437961 + ... + 111557246.

It is an arithmetic number, because the mean of its divisors is an integer number (838833640760).

Almost surely, 2^{13300103131101} is an apocalyptic number.

It is an amenable number.

13300103131101 is a deficient number, since it is larger than the sum of its proper divisors (6831904247139).

13300103131101 is an equidigital number, since it uses as much as digits as its factorization.

13300103131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222995310 (or 222995257 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13300103131101 its reverse (10113130100331), we get a palindrome (23413233231432).

The spelling of 13300103131101 in words is "thirteen trillion, three hundred billion, one hundred three million, one hundred thirty-one thousand, one hundred one".