131010010120233 has 12 divisors (see below), whose sum is σ = 189526477129860. Its totient is φ = 87206254818336.

The previous prime is 131010010120183. The next prime is 131010010120237. The reversal of 131010010120233 is 332021010010131.

131010010120233 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 0 + 1 + 0 + 120 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17640604805184 + 113369405315049 = 4200072^2 + 10647507^2 .

It is not a de Polignac number, because 131010010120233 - 2⁸ = 131010010119977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131010010120237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11145987838 + ... + 11145999591.

It is an arithmetic number, because the mean of its divisors is an integer number (15793873094155).

Almost surely, 2^{131010010120233} is an apocalyptic number.

It is an amenable number.

131010010120233 is a deficient number, since it is larger than the sum of its proper divisors (58516467009627).

131010010120233 is a wasteful number, since it uses less digits than its factorization.

131010010120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22291988088 (or 22291988085 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131010010120233 its reverse (332021010010131), we get a palindrome (463031020130364).

The spelling of 131010010120233 in words is "one hundred thirty-one trillion, ten billion, ten million, one hundred twenty thousand, two hundred thirty-three".