1002000013 has 8 divisors (see below), whose sum is σ = 1146084480. Its totient is φ = 858150960.

The previous prime is 1002000001. The next prime is 1002000029. The reversal of 1002000013 is 3100002001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002000013 - 2⁵ = 1001999981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49633 + ... + 66838.

It is an arithmetic number, because the mean of its divisors is an integer number (143260560).

Almost surely, 2^1002000013 is an apocalyptic number.

It is an amenable number.

1002000013 is a deficient number, since it is larger than the sum of its proper divisors (144084467).

1002000013 is a wasteful number, since it uses less digits than its factorization.

1002000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117707.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1002000013 is about 31654.3837880316. The cubic root of 1002000013 is about 1000.6662270430. Note that the first 3 decimals are identical.

Adding to 1002000013 its reverse (3100002001), we get a palindrome (4102002014).

The spelling of 1002000013 in words is "one billion, two million, thirteen", and thus it is an aban number and an uban number.