1331142304 has 48 divisors (see below), whose sum is σ = 2650572288. Its totient is φ = 658029312.

The previous prime is 1331142259. The next prime is 1331142343. The reversal of 1331142304 is 4032411331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191154 + ... + 1192270.

It is an arithmetic number, because the mean of its divisors is an integer number (55220256).

Almost surely, 2^1331142304 is an apocalyptic number.

It is an amenable number.

1331142304 is a deficient number, since it is larger than the sum of its proper divisors (1319429984).

1331142304 is a wasteful number, since it uses less digits than its factorization.

1331142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1331142304 is about 36484.8229268007. The cubic root of 1331142304 is about 1100.0392008068.

Adding to 1331142304 its reverse (4032411331), we get a palindrome (5363553635).

The spelling of 1331142304 in words is "one billion, three hundred thirty-one million, one hundred forty-two thousand, three hundred four".