131413034342033 has 8 divisors (see below), whose sum is σ = 131633753160000. Its totient is φ = 131192468116848.

The previous prime is 131413034342027. The next prime is 131413034342059. The reversal of 131413034342033 is 330243430314131.

It is a happy number.

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 131413034342033 - 2¹⁰ = 131413034341009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131413034341984 and 131413034342002.

It is not an unprimeable number, because it can be changed into a prime (131413034347033) 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, 36424283 + ... + 39869216.

It is an arithmetic number, because the mean of its divisors is an integer number (16454219145000).

Almost surely, 2^{131413034342033} is an apocalyptic number.

It is an amenable number.

131413034342033 is a deficient number, since it is larger than the sum of its proper divisors (220718817967).

131413034342033 is an equidigital number, since it uses as much as digits as its factorization.

131413034342033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76296391.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 131413034342033 its reverse (330243430314131), we get a palindrome (461656464656164).

The spelling of 131413034342033 in words is "one hundred thirty-one trillion, four hundred thirteen billion, thirty-four million, three hundred forty-two thousand, thirty-three".