1305315105315 has 32 divisors (see below), whose sum is σ = 2249605322496. Its totient is φ = 642488956800.

The previous prime is 1305315105151. The next prime is 1305315105379. The reversal of 1305315105315 is 5135015135031.

It is not a de Polignac number, because 1305315105315 - 2¹⁹ = 1305314581027 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322312 + ... + 1647578.

It is an arithmetic number, because the mean of its divisors is an integer number (70300166328).

Almost surely, 2^{1305315105315} is an apocalyptic number.

1305315105315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305315105315 is a deficient number, since it is larger than the sum of its proper divisors (944290217181).

1305315105315 is a wasteful number, since it uses less digits than its factorization.

1305315105315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330339.

The product of its (nonzero) digits is 16875, while the sum is 33.

The spelling of 1305315105315 in words is "one trillion, three hundred five billion, three hundred fifteen million, one hundred five thousand, three hundred fifteen".