1008131315665 has 16 divisors (see below), whose sum is σ = 1226930094720. Its totient is φ = 795059184640.

The previous prime is 1008131315657. The next prime is 1008131315669. The reversal of 1008131315665 is 5665131318001.

It is a happy number.

It is not a de Polignac number, because 1008131315665 - 2³ = 1008131315657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1008131315669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3210801 + ... + 3510769.

It is an arithmetic number, because the mean of its divisors is an integer number (76683130920).

Almost surely, 2^{1008131315665} is an apocalyptic number.

It is an amenable number.

1008131315665 is a deficient number, since it is larger than the sum of its proper divisors (218798779055).

1008131315665 is an equidigital number, since it uses as much as digits as its factorization.

1008131315665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309512.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 1008131315665 in words is "one trillion, eight billion, one hundred thirty-one million, three hundred fifteen thousand, six hundred sixty-five".