1312412401 has 2 divisors, whose sum is σ = 1312412402. Its totient is φ = 1312412400.

The previous prime is 1312412389. The next prime is 1312412411. The reversal of 1312412401 is 1042142131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1212432400 + 99980001 = 34820^2 + 9999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312412401 - 2¹⁷ = 1312281329 is a prime.

It is a super-3 number, since 3×1312412401³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1312412411) 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 as a sum of consecutive naturals, namely, 656206200 + 656206201.

It is an arithmetic number, because the mean of its divisors is an integer number (656206201).

Almost surely, 2^1312412401 is an apocalyptic number.

It is an amenable number.

1312412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312412401 is an equidigital number, since it uses as much as digits as its factorization.

1312412401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1312412401 is about 36227.2328642418. The cubic root of 1312412401 is about 1094.8554262398.

Adding to 1312412401 its reverse (1042142131), we get a palindrome (2354554532).

The spelling of 1312412401 in words is "one billion, three hundred twelve million, four hundred twelve thousand, four hundred one".