131333000032133 has 16 divisors (see below), whose sum is σ = 137647899692400. Its totient is φ = 125187141689856.

The previous prime is 131333000032079. The next prime is 131333000032181. The reversal of 131333000032133 is 331230000333131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7014112605889 + 124318887426244 = 2648417^2 + 11149838^2 .

It is not a de Polignac number, because 131333000032133 - 2¹⁰ = 131333000031109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333000032183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162764810 + ... + 163569707.

It is an arithmetic number, because the mean of its divisors is an integer number (8602993730775).

Almost surely, 2^{131333000032133} is an apocalyptic number.

It is an amenable number.

131333000032133 is a deficient number, since it is larger than the sum of its proper divisors (6314899660267).

131333000032133 is a wasteful number, since it uses less digits than its factorization.

131333000032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326334776.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 131333000032133 its reverse (331230000333131), we get a palindrome (462563000365264).

The spelling of 131333000032133 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, thirty-two thousand, one hundred thirty-three".