131023140032133 has 8 divisors (see below), whose sum is σ = 194108355603200. Its totient is φ = 87348760021404.

The previous prime is 131023140032131. The next prime is 131023140032149. The reversal of 131023140032133 is 331230041320131.

131023140032133 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 231 + 400 + 3 + 21 + 3 + 3 = 666.

It is not a de Polignac number, because 131023140032133 - 2¹ = 131023140032131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4852708890079 = 131023140032133 / (1 + 3 + 1 + 0 + 2 + 3 + 1 + 4 + 0 + 0 + 3 + 2 + 1 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131023140032097 and 131023140032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023140032131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2426354445013 + ... + 2426354445066.

It is an arithmetic number, because the mean of its divisors is an integer number (24263544450400).

Almost surely, 2^{131023140032133} is an apocalyptic number.

It is an amenable number.

131023140032133 is a deficient number, since it is larger than the sum of its proper divisors (63085215571067).

131023140032133 is an equidigital number, since it uses as much as digits as its factorization.

131023140032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852708890088 (or 4852708890082 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131023140032133 its reverse (331230041320131), we get a palindrome (462253181352264).

The spelling of 131023140032133 in words is "one hundred thirty-one trillion, twenty-three billion, one hundred forty million, thirty-two thousand, one hundred thirty-three".