1306314164001 has 128 divisors (see below), whose sum is σ = 2238081269760. Its totient is φ = 658101024000.

The previous prime is 1306314163997. The next prime is 1306314164027. The reversal of 1306314164001 is 1004614136031.

It is not a de Polignac number, because 1306314164001 - 2² = 1306314163997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1306314164001.

It is not an unprimeable number, because it can be changed into a prime (1306314163001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 687171151 + ... + 687173051.

It is an arithmetic number, because the mean of its divisors is an integer number (17485009920).

Almost surely, 2^{1306314164001} is an apocalyptic number.

1306314164001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1306314164001 is a deficient number, since it is larger than the sum of its proper divisors (931767105759).

1306314164001 is a wasteful number, since it uses less digits than its factorization.

1306314164001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 1306314164001 in words is "one trillion, three hundred six billion, three hundred fourteen million, one hundred sixty-four thousand, one".