131010414240033 has 24 divisors (see below), whose sum is σ = 192557341017600. Its totient is φ = 85811176452960.

The previous prime is 131010414240007. The next prime is 131010414240037. The reversal of 131010414240033 is 330042414010131.

131010414240033 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 0 + 414 + 240 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 131010414240033 - 2¹² = 131010414235937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131010414239979 and 131010414240006.

It is not an unprimeable number, because it can be changed into a prime (131010414240037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134642433 + ... + 135611966.

It is an arithmetic number, because the mean of its divisors is an integer number (8023222542400).

Almost surely, 2^{131010414240033} is an apocalyptic number.

It is an amenable number.

131010414240033 is a deficient number, since it is larger than the sum of its proper divisors (61546926777567).

131010414240033 is a wasteful number, since it uses less digits than its factorization.

131010414240033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270255349 (or 270255346 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131010414240033 its reverse (330042414010131), we get a palindrome (461052828250164).

The spelling of 131010414240033 in words is "one hundred thirty-one trillion, ten billion, four hundred fourteen million, two hundred forty thousand, thirty-three".