131141122400333 has 4 divisors (see below), whose sum is σ = 135663230069340. Its totient is φ = 126619014731328.

The previous prime is 131141122400311. The next prime is 131141122400339. The reversal of 131141122400333 is 333004221141131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87585583886089 + 43555538514244 = 9358717^2 + 6599662^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141122400333 - 2⁸ = 131141122400077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 4522107668977 = 131141122400333 / (1 + 3 + 1 + 1 + 4 + 1 + 1 + 2 + 2 + 4 + 0 + 0 + 3 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141122400296 and 131141122400305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141122400339) 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 3 ways as a sum of consecutive naturals, for example, 2261053834460 + ... + 2261053834517.

It is an arithmetic number, because the mean of its divisors is an integer number (33915807517335).

Almost surely, 2^{131141122400333} is an apocalyptic number.

It is an amenable number.

131141122400333 is a deficient number, since it is larger than the sum of its proper divisors (4522107669007).

131141122400333 is an equidigital number, since it uses as much as digits as its factorization.

131141122400333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522107669006.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131141122400333 its reverse (333004221141131), we get a palindrome (464145343541464).

The spelling of 131141122400333 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred thousand, three hundred thirty-three".