1004131312 has 40 divisors (see below), whose sum is σ = 1997586432. Its totient is φ = 488740800.

The previous prime is 1004131291. The next prime is 1004131319. The reversal of 1004131312 is 2131314001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004131319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140137 + ... + 147127.

Almost surely, 2^1004131312 is an apocalyptic number.

It is an amenable number.

1004131312 is a deficient number, since it is larger than the sum of its proper divisors (993455120).

1004131312 is a wasteful number, since it uses less digits than its factorization.

1004131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1004131312 is about 31688.0310527492. The cubic root of 1004131312 is about 1001.3752119252.

Adding to 1004131312 its reverse (2131314001), we get a palindrome (3135445313).

The spelling of 1004131312 in words is "one billion, four million, one hundred thirty-one thousand, three hundred twelve".