131033113331 has 16 divisors (see below), whose sum is σ = 138165300000. Its totient is φ = 123924722688.

The previous prime is 131033113319. The next prime is 131033113333. The reversal of 131033113331 is 133311330131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131033113331 is a prime.

It is a super-2 number, since 2×131033113331² (a number of 23 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 = 131033113297 and 131033113306.

It is not an unprimeable number, because it can be changed into a prime (131033113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38845961 + ... + 38849333.

It is an arithmetic number, because the mean of its divisors is an integer number (8635331250).

Almost surely, 2^131033113331 is an apocalyptic number.

131033113331 is a deficient number, since it is larger than the sum of its proper divisors (7132186669).

131033113331 is a wasteful number, since it uses less digits than its factorization.

131033113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 131033113331 its reverse (133311330131), we get a palindrome (264344443462).

The spelling of 131033113331 in words is "one hundred thirty-one billion, thirty-three million, one hundred thirteen thousand, three hundred thirty-one".