13133041031 has 16 divisors (see below), whose sum is σ = 14622946848. Its totient is φ = 11693260800.

The previous prime is 13133041027. The next prime is 13133041067. The reversal of 13133041031 is 13014033131.

13133041031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13133041031 - 2² = 13133041027 is a prime.

It is a super-3 number, since 3×13133041031³ (a number of 31 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 junction number, because it is equal to n+sod(n) for n = 13133040994 and 13133041012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133041021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316871 + ... + 355911.

It is an arithmetic number, because the mean of its divisors is an integer number (913934178).

Almost surely, 2^13133041031 is an apocalyptic number.

13133041031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133041031 is a deficient number, since it is larger than the sum of its proper divisors (1489905817).

13133041031 is a wasteful number, since it uses less digits than its factorization.

13133041031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39682.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133041031 its reverse (13014033131), we get a palindrome (26147074162).

The spelling of 13133041031 in words is "thirteen billion, one hundred thirty-three million, forty-one thousand, thirty-one".