1333110042 has 64 divisors (see below), whose sum is σ = 3260545920. Its totient is φ = 400377600.

The previous prime is 1333110041. The next prime is 1333110049. The reversal of 1333110042 is 2400113331.

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 = 1333109997 and 1333110024.

It is not an unprimeable number, because it can be changed into a prime (1333110041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57192 + ... + 77052.

It is an arithmetic number, because the mean of its divisors is an integer number (50946030).

Almost surely, 2^1333110042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333110042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630272960).

1333110042 is an abundant number, since it is smaller than the sum of its proper divisors (1927435878).

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

1333110042 is a wasteful number, since it uses less digits than its factorization.

1333110042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19996 (or 19990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1333110042 is about 36511.7794964858. The cubic root of 1333110042 is about 1100.5809718899.

Adding to 1333110042 its reverse (2400113331), we get a palindrome (3733223373).

The spelling of 1333110042 in words is "one billion, three hundred thirty-three million, one hundred ten thousand, forty-two".