201002000013 has 20 divisors (see below), whose sum is σ = 300279253120. Its totient is φ = 133993743912.

The previous prime is 201002000009. The next prime is 201002000033. The reversal of 201002000013 is 310000200102.

It is a happy number.

It is not a de Polignac number, because 201002000013 - 2² = 201002000009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201001999959 and 201002000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002000033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1617348 + ... + 1737186.

It is an arithmetic number, because the mean of its divisors is an integer number (15013962656).

Almost surely, 2^201002000013 is an apocalyptic number.

It is an amenable number.

201002000013 is a deficient number, since it is larger than the sum of its proper divisors (99277253107).

201002000013 is a wasteful number, since it uses less digits than its factorization.

201002000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140558 (or 140549 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201002000013 its reverse (310000200102), we get a palindrome (511002200115).

The spelling of 201002000013 in words is "two hundred one billion, two million, thirteen", and thus it is an aban number.