1003200013 has 8 divisors (see below), whose sum is σ = 1034220600. Its totient is φ = 972491520.

The previous prime is 1003199957. The next prime is 1003200049. The reversal of 1003200013 is 3100023001.

It can be written as a sum of positive squares in 4 ways, for example, as 14915044 + 988284969 = 3862^2 + 31437^2 .

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 1003200013 - 2⁹ = 1003199501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003200053) 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, 71488 + ... + 84361.

It is an arithmetic number, because the mean of its divisors is an integer number (129277575).

Almost surely, 2^1003200013 is an apocalyptic number.

It is an amenable number.

1003200013 is a deficient number, since it is larger than the sum of its proper divisors (31020587).

1003200013 is a wasteful number, since it uses less digits than its factorization.

1003200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156047.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1003200013 is about 31673.3328369466. The cubic root of 1003200013 is about 1001.0655352314.

Adding to 1003200013 its reverse (3100023001), we get a palindrome (4103223014).

The spelling of 1003200013 in words is "one billion, three million, two hundred thousand, thirteen".