1314124316401 has 12 divisors (see below), whose sum is σ = 1436041629660. Its totient is φ = 1201909026240.

The previous prime is 1314124316381. The next prime is 1314124316413. The reversal of 1314124316401 is 1046134214131.

It can be written as a sum of positive squares in 6 ways, for example, as 36014930176 + 1278109386225 = 189776^2 + 1130535^2 .

It is not a de Polignac number, because 1314124316401 - 2¹³ = 1314124308209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314124346401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35650770 + ... + 35687611.

It is an arithmetic number, because the mean of its divisors is an integer number (119670135805).

Almost surely, 2^{1314124316401} is an apocalyptic number.

It is an amenable number.

1314124316401 is a deficient number, since it is larger than the sum of its proper divisors (121917313259).

1314124316401 is a wasteful number, since it uses less digits than its factorization.

1314124316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71338516 (or 71338503 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1314124316401 in words is "one trillion, three hundred fourteen billion, one hundred twenty-four million, three hundred sixteen thousand, four hundred one".