2001413013 has 8 divisors (see below), whose sum is σ = 2809000800. Its totient is φ = 1264050288.

The previous prime is 2001412999. The next prime is 2001413017. The reversal of 2001413013 is 3103141002.

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

It is not a de Polignac number, because 2001413013 - 2⁴ = 2001412997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001412983 and 2001413001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001413017) 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 7 ways as a sum of consecutive naturals, for example, 17556198 + ... + 17556311.

It is an arithmetic number, because the mean of its divisors is an integer number (351125100).

Almost surely, 2^2001413013 is an apocalyptic number.

It is an amenable number.

2001413013 is a deficient number, since it is larger than the sum of its proper divisors (807587787).

2001413013 is a wasteful number, since it uses less digits than its factorization.

2001413013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35112531.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2001413013 is about 44737.1547262452. The cubic root of 2001413013 is about 1260.2176941825.

Adding to 2001413013 its reverse (3103141002), we get a palindrome (5104554015).

The spelling of 2001413013 in words is "two billion, one million, four hundred thirteen thousand, thirteen".