1313312004 has 18 divisors (see below), whose sum is σ = 3319760990. Its totient is φ = 437770656.

The previous prime is 1313311997. The next prime is 1313312017. The reversal of 1313312004 is 4002133131.

1313312004 is a `hidden beast` number, since 131 + 331 + 200 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1003622400 + 309689604 = 31680^2 + 17598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18240409 + ... + 18240480.

Almost surely, 2^1313312004 is an apocalyptic number.

It is an amenable number.

1313312004 is an abundant number, since it is smaller than the sum of its proper divisors (2006448986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313312004 is a wasteful number, since it uses less digits than its factorization.

1313312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36480899 (or 36480894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313312004 is about 36239.6468525840. The cubic root of 1313312004 is about 1095.1055280795.

Adding to 1313312004 its reverse (4002133131), we get a palindrome (5315445135).

The spelling of 1313312004 in words is "one billion, three hundred thirteen million, three hundred twelve thousand, four".