2004120313 has 8 divisors (see below), whose sum is σ = 2232707400. Its totient is φ = 1786165248.

The previous prime is 2004120311. The next prime is 2004120317. The reversal of 2004120313 is 3130214002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52954729 + 1951165584 = 7277^2 + 44172^2 .

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 2004120313 - 2¹ = 2004120311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004120311) 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, 2657608 + ... + 2658361.

It is an arithmetic number, because the mean of its divisors is an integer number (279088425).

Almost surely, 2^2004120313 is an apocalyptic number.

It is an amenable number.

2004120313 is a deficient number, since it is larger than the sum of its proper divisors (228587087).

2004120313 is a wasteful number, since it uses less digits than its factorization.

2004120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316011.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2004120313 is about 44767.4023481372. The cubic root of 2004120313 is about 1260.7856679304.

Adding to 2004120313 its reverse (3130214002), we get a palindrome (5134334315).

The spelling of 2004120313 in words is "two billion, four million, one hundred twenty thousand, three hundred thirteen".