2000133100242 has 12 divisors (see below), whose sum is σ = 4333621717230. Its totient is φ = 666711033408.

The previous prime is 2000133100241. The next prime is 2000133100243. The reversal of 2000133100242 is 2420013310002.

It is an interprime number because it is at equal distance from previous prime (2000133100241) and next prime (2000133100243).

It can be written as a sum of positive squares in only one way, i.e., 1624424171841 + 375708928401 = 1274529^2 + 612951^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111118505569 = 2000133100242 / (2 + 0 + 0 + 0 + 1 + 3 + 3 + 1 + 0 + 0 + 2 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (2000133100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55559252767 + ... + 55559252802.

Almost surely, 2^{2000133100242} is an apocalyptic number.

2000133100242 is an abundant number, since it is smaller than the sum of its proper divisors (2333488616988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000133100242 is a wasteful number, since it uses less digits than its factorization.

2000133100242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111118505577 (or 111118505574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2000133100242 its reverse (2420013310002), we get a palindrome (4420146410244).

The spelling of 2000133100242 in words is "two trillion, one hundred thirty-three million, one hundred thousand, two hundred forty-two".