13100103311031 has 48 divisors (see below), whose sum is σ = 20759211712512. Its totient is φ = 7894683547200.

The previous prime is 13100103310999. The next prime is 13100103311033. The reversal of 13100103311031 is 13011330100131.

13100103311031 is a `hidden beast` number, since 1 + 310 + 0 + 10 + 3 + 311 + 0 + 31 = 666.

It is not a de Polignac number, because 13100103311031 - 2⁵ = 13100103310999 is a prime.

It is a super-2 number, since 2×13100103311031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100103310995 and 13100103311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100103311033) 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 47 ways as a sum of consecutive naturals, for example, 18708661 + ... + 19396241.

It is an arithmetic number, because the mean of its divisors is an integer number (432483577344).

Almost surely, 2^{13100103311031} is an apocalyptic number.

13100103311031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13100103311031 is a deficient number, since it is larger than the sum of its proper divisors (7659108401481).

13100103311031 is a wasteful number, since it uses less digits than its factorization.

13100103311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688684 (or 688681 counting only the distinct ones).

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

Adding to 13100103311031 its reverse (13011330100131), we get a palindrome (26111433411162).

The spelling of 13100103311031 in words is "thirteen trillion, one hundred billion, one hundred three million, three hundred eleven thousand, thirty-one".