133021011000042 has 96 divisors (see below), whose sum is σ = 317541342718080. Its totient is φ = 39908552117760.

The previous prime is 133021011000041. The next prime is 133021011000047. The reversal of 133021011000042 is 240000110120331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133021010999979 and 133021011000024.

It is not an unprimeable number, because it can be changed into a prime (133021011000041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85228134 + ... + 86774862.

It is an arithmetic number, because the mean of its divisors is an integer number (3307722319980).

Almost surely, 2^{133021011000042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021011000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158770671359040).

133021011000042 is an abundant number, since it is smaller than the sum of its proper divisors (184520331718038).

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

133021011000042 is a wasteful number, since it uses less digits than its factorization.

133021011000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551068 (or 1551065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133021011000042 its reverse (240000110120331), we get a palindrome (373021121120373).

The spelling of 133021011000042 in words is "one hundred thirty-three trillion, twenty-one billion, eleven million, forty-two", and thus it is an aban number.