1314046351321 has 24 divisors (see below), whose sum is σ = 1504199277000. Its totient is φ = 1145653555200.

The previous prime is 1314046351313. The next prime is 1314046351337. The reversal of 1314046351321 is 1231536404131.

It can be written as a sum of positive squares in 4 ways, for example, as 345672267721 + 968374083600 = 587939^2 + 984060^2 .

It is not a de Polignac number, because 1314046351321 - 2³ = 1314046351313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314046351381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733800 + ... + 1779481.

It is an arithmetic number, because the mean of its divisors is an integer number (62674969875).

Almost surely, 2^{1314046351321} is an apocalyptic number.

1314046351321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314046351321 is a deficient number, since it is larger than the sum of its proper divisors (190152925679).

1314046351321 is a wasteful number, since it uses less digits than its factorization.

1314046351321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513481 (or 2513470 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1314046351321 in words is "one trillion, three hundred fourteen billion, forty-six million, three hundred fifty-one thousand, three hundred twenty-one".