2001013 has 12 divisors (see below), whose sum is σ = 2357292. Its totient is φ = 1693440.

The previous prime is 2000989. The next prime is 2001037. The reversal of 2001013 is 3101002.

It is an interprime number because it is at equal distance from previous prime (2000989) and next prime (2001037).

It can be written as a sum of positive squares in 2 ways, for example, as 305809 + 1695204 = 553^2 + 1302^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2001013 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2000987 and 2001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4543 + ... + 4963.

It is an arithmetic number, because the mean of its divisors is an integer number (196441).

2^2001013 is an apocalyptic number.

It is an amenable number.

2001013 is a deficient number, since it is larger than the sum of its proper divisors (356279).

2001013 is an equidigital number, since it uses as much as digits as its factorization.

2001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

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

The square root of 2001013 is about 1414.5716666186. The cubic root of 2001013 is about 126.0133730662.

Adding to 2001013 its reverse (3101002), we get a palindrome (5102015).

The spelling of 2001013 in words is "two million, one thousand, thirteen".