131330123001 has 144 divisors (see below), whose sum is σ = 256421842560. Its totient is φ = 62706631680.

The previous prime is 131330122991. The next prime is 131330123009. The reversal of 131330123001 is 100321033131.

It is a happy number.

131330123001 is a `hidden beast` number, since 1 + 31 + 330 + 1 + 2 + 300 + 1 = 666.

It is not a de Polignac number, because 131330123001 - 2⁵ = 131330122969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131330123009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21780055 + ... + 21786083.

It is an arithmetic number, because the mean of its divisors is an integer number (1780707240).

Almost surely, 2^131330123001 is an apocalyptic number.

131330123001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131330123001 is a deficient number, since it is larger than the sum of its proper divisors (125091719559).

131330123001 is a wasteful number, since it uses less digits than its factorization.

131330123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131330123001 its reverse (100321033131), we get a palindrome (231651156132).

The spelling of 131330123001 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred twenty-three thousand, one".