13310432124031 has 48 divisors (see below), whose sum is σ = 15880920844800. Its totient is φ = 11117426826240.

The previous prime is 13310432124029. The next prime is 13310432124047. The reversal of 13310432124031 is 13042123401331.

13310432124031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13310432124031 - 2¹ = 13310432124029 is a prime.

It is a super-3 number, since 3×13310432124031³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310432134031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3247236820 + ... + 3247240918.

It is an arithmetic number, because the mean of its divisors is an integer number (330852517600).

Almost surely, 2^{13310432124031} is an apocalyptic number.

13310432124031 is a deficient number, since it is larger than the sum of its proper divisors (2570488720769).

13310432124031 is a wasteful number, since it uses less digits than its factorization.

13310432124031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13310432124031 its reverse (13042123401331), we get a palindrome (26352555525362).

The spelling of 13310432124031 in words is "thirteen trillion, three hundred ten billion, four hundred thirty-two million, one hundred twenty-four thousand, thirty-one".