1013133042 has 64 divisors (see below), whose sum is σ = 2319246720. Its totient is φ = 327628800.

The previous prime is 1013132993. The next prime is 1013133047. The reversal of 1013133042 is 2403313101.

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

It is not an unprimeable number, because it can be changed into a prime (1013133047) 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, 426117 + ... + 428487.

It is an arithmetic number, because the mean of its divisors is an integer number (36238230).

Almost surely, 2^1013133042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013133042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159623360).

1013133042 is an abundant number, since it is smaller than the sum of its proper divisors (1306113678).

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

1013133042 is a wasteful number, since it uses less digits than its factorization.

1013133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2610 counting only the distinct ones).

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

The square root of 1013133042 is about 31829.7508944069. The cubic root of 1013133042 is about 1004.3586551899.

Adding to 1013133042 its reverse (2403313101), we get a palindrome (3416446143).

The spelling of 1013133042 in words is "one billion, thirteen million, one hundred thirty-three thousand, forty-two".