13300100000031 has 16 divisors (see below), whose sum is σ = 19613730286304. Its totient is φ = 7963469437824.

The previous prime is 13300100000029. The next prime is 13300100000041. The reversal of 13300100000031 is 13000000100331.

It is not a de Polignac number, because 13300100000031 - 2¹ = 13300100000029 is a prime.

It is a super-2 number, since 2×13300100000031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13300099999962 and 13300100000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300100000041) 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 15 ways as a sum of consecutive naturals, for example, 4608487816 + ... + 4608490701.

It is an arithmetic number, because the mean of its divisors is an integer number (1225858142894).

Almost surely, 2^{13300100000031} is an apocalyptic number.

13300100000031 is a deficient number, since it is larger than the sum of its proper divisors (6313630286273).

13300100000031 is a wasteful number, since it uses less digits than its factorization.

13300100000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216978570.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13300100000031 its reverse (13000000100331), we get a palindrome (26300100100362).

The spelling of 13300100000031 in words is "thirteen trillion, three hundred billion, one hundred million, thirty-one", and thus it is an aban number.