1312404301 has 32 divisors (see below), whose sum is σ = 1541919456. Its totient is φ = 1105920000.

The previous prime is 1312404299. The next prime is 1312404323. The reversal of 1312404301 is 1034042131.

It can be written as a sum of positive squares in 16 ways, for example, as 201782025 + 1110622276 = 14205^2 + 33326^2 .

It is a 8-Lehmer number, since φ(1312404301) divides (1312404301-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 1312404301 - 2¹ = 1312404299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312404341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183401 + ... + 2184001.

It is an arithmetic number, because the mean of its divisors is an integer number (48184983).

Almost surely, 2^1312404301 is an apocalyptic number.

It is an amenable number.

1312404301 is a deficient number, since it is larger than the sum of its proper divisors (229515155).

1312404301 is a wasteful number, since it uses less digits than its factorization.

1312404301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1312404301 is about 36227.1210697179. The cubic root of 1312404301 is about 1094.8531738108.

Adding to 1312404301 its reverse (1034042131), we get a palindrome (2346446432).

The spelling of 1312404301 in words is "one billion, three hundred twelve million, four hundred four thousand, three hundred one".