42233402000133 has 84 divisors (see below), whose sum is σ = 67808440363692. Its totient is φ = 26274570410880.

The previous prime is 42233402000131. The next prime is 42233402000143. The reversal of 42233402000133 is 33100020433224.

42233402000133 is a `hidden beast` number, since 4 + 223 + 3 + 402 + 0 + 0 + 0 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10003006539009 + 32230395461124 = 3162753^2 + 5677182^2 .

It is not a de Polignac number, because 42233402000133 - 2¹ = 42233402000131 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 42233402000097 and 42233402000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233402000131) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14475735 + ... + 17146827.

It is an arithmetic number, because the mean of its divisors is an integer number (807243337663).

Almost surely, 2^{42233402000133} is an apocalyptic number.

It is an amenable number.

42233402000133 is a deficient number, since it is larger than the sum of its proper divisors (25575038363559).

42233402000133 is an equidigital number, since it uses as much as digits as its factorization.

42233402000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671198 (or 2671160 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42233402000133 its reverse (33100020433224), we get a palindrome (75333422433357).

The spelling of 42233402000133 in words is "forty-two trillion, two hundred thirty-three billion, four hundred two million, one hundred thirty-three", and thus it is an aban number.