131120330123133 has 90 divisors (see below), whose sum is σ = 216705889220634. Its totient is φ = 78972619242816.

The previous prime is 131120330123077. The next prime is 131120330123137. The reversal of 131120330123133 is 331321033021131.

131120330123133 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 0 + 330 + 12 + 313 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5713883079129 + 125406447044004 = 2390373^2 + 11198502^2 .

It is not a de Polignac number, because 131120330123133 - 2¹⁰ = 131120330122109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131120330123097 and 131120330123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120330123137) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 28070935 + ... + 32407067.

Almost surely, 2^{131120330123133} is an apocalyptic number.

131120330123133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131120330123133 is a deficient number, since it is larger than the sum of its proper divisors (85585559097501).

131120330123133 is an equidigital number, since it uses as much as digits as its factorization.

131120330123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336265 (or 4336196 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131120330123133 its reverse (331321033021131), we get a palindrome (462441363144264).

The spelling of 131120330123133 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred thirty million, one hundred twenty-three thousand, one hundred thirty-three".