1007131345 has 16 divisors (see below), whose sum is σ = 1319182848. Its totient is φ = 732039040.

The previous prime is 1007131327. The next prime is 1007131361. The reversal of 1007131345 is 5431317001.

1007131345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007131345 - 2⁵ = 1007131313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117237 + ... + 125533.

It is an arithmetic number, because the mean of its divisors is an integer number (82448928).

Almost surely, 2^1007131345 is an apocalyptic number.

It is an amenable number.

1007131345 is a deficient number, since it is larger than the sum of its proper divisors (312051503).

1007131345 is a wasteful number, since it uses less digits than its factorization.

1007131345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1007131345 is about 31735.3327538881. The cubic root of 1007131345 is about 1002.3714866056.

Adding to 1007131345 its reverse (5431317001), we get a palindrome (6438448346).

The spelling of 1007131345 in words is "one billion, seven million, one hundred thirty-one thousand, three hundred forty-five".