2000232013 has 8 divisors (see below), whose sum is σ = 2178300600. Its totient is φ = 1825621248.

The previous prime is 2000231963. The next prime is 2000232037. The reversal of 2000232013 is 3102320002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146240649 + 1853991364 = 12093^2 + 43058^2 .

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 2000232013 - 2¹³ = 2000223821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000231984 and 2000232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000232413) 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, 863248 + ... + 865561.

It is an arithmetic number, because the mean of its divisors is an integer number (272287575).

Almost surely, 2^2000232013 is an apocalyptic number.

It is an amenable number.

2000232013 is a deficient number, since it is larger than the sum of its proper divisors (178068587).

2000232013 is a wasteful number, since it uses less digits than its factorization.

2000232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728911.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2000232013 is about 44723.9534589687. The cubic root of 2000232013 is about 1259.9697676882.

Adding to 2000232013 its reverse (3102320002), we get a palindrome (5102552015).

The spelling of 2000232013 in words is "two billion, two hundred thirty-two thousand, thirteen".