131320033022113 has 8 divisors (see below), whose sum is σ = 142719019658600. Its totient is φ = 120106395762048.

The previous prime is 131320033022077. The next prime is 131320033022117. The reversal of 131320033022113 is 311220330023131.

It can be written as a sum of positive squares in 4 ways, for example, as 7764203290624 + 123555829731489 = 2786432^2 + 11115567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131320033022113 - 2³³ = 131311443087521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131320033022117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46337342628 + ... + 46337345461.

It is an arithmetic number, because the mean of its divisors is an integer number (17839877457325).

Almost surely, 2^{131320033022113} is an apocalyptic number.

131320033022113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131320033022113 is a deficient number, since it is larger than the sum of its proper divisors (11398986636487).

131320033022113 is a wasteful number, since it uses less digits than its factorization.

131320033022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92674688211.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131320033022113 its reverse (311220330023131), we get a palindrome (442540363045244).

The spelling of 131320033022113 in words is "one hundred thirty-one trillion, three hundred twenty billion, thirty-three million, twenty-two thousand, one hundred thirteen".