133042041203121 has 56 divisors (see below), whose sum is σ = 211228813814760. Its totient is φ = 83468124089856.

The previous prime is 133042041203101. The next prime is 133042041203179. The reversal of 133042041203121 is 121302140240331.

133042041203121 is a `hidden beast` number, since 1 + 3 + 30 + 420 + 4 + 1 + 203 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 399853875600 + 132642187327521 = 632340^2 + 11517039^2 .

It is not a de Polignac number, because 133042041203121 - 2¹⁷ = 133042041072049 is a prime.

It is a super-2 number, since 2×133042041203121² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133042041203101) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 112298571 + ... + 113477103.

It is an arithmetic number, because the mean of its divisors is an integer number (3771943103835).

Almost surely, 2^{133042041203121} is an apocalyptic number.

It is an amenable number.

133042041203121 is a deficient number, since it is larger than the sum of its proper divisors (78186772611639).

133042041203121 is an equidigital number, since it uses as much as digits as its factorization.

133042041203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187677 (or 1187662 counting only the distinct ones).

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

Adding to 133042041203121 its reverse (121302140240331), we get a palindrome (254344181443452).

The spelling of 133042041203121 in words is "one hundred thirty-three trillion, forty-two billion, forty-one million, two hundred three thousand, one hundred twenty-one".