1013331006 has 32 divisors (see below), whose sum is σ = 2254010400. Its totient is φ = 337452480.

The previous prime is 1013331001. The next prime is 1013331017. The reversal of 1013331006 is 6001333101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1013331006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013331001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51426 + ... + 68346.

It is an arithmetic number, because the mean of its divisors is an integer number (70437825).

Almost surely, 2^1013331006 is an apocalyptic number.

1013331006 is an abundant number, since it is smaller than the sum of its proper divisors (1240679394).

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

1013331006 is a wasteful number, since it uses less digits than its factorization.

1013331006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18041 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1013331006 is about 31832.8604746730. The cubic root of 1013331006 is about 1004.4240674309.

Adding to 1013331006 its reverse (6001333101), we get a palindrome (7014664107).

The spelling of 1013331006 in words is "one billion, thirteen million, three hundred thirty-one thousand, six".