1312141013153 has 2 divisors, whose sum is σ = 1312141013154. Its totient is φ = 1312141013152.

The previous prime is 1312141013119. The next prime is 1312141013179. The reversal of 1312141013153 is 3513101412131.

It is an a-pointer prime, because the next prime (1312141013179) can be obtained adding 1312141013153 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1279767287824 + 32373725329 = 1131268^2 + 179927^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312141013153 - 2¹² = 1312141009057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1312141013753) 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, 656070506576 + 656070506577.

It is an arithmetic number, because the mean of its divisors is an integer number (656070506577).

Almost surely, 2^{1312141013153} is an apocalyptic number.

It is an amenable number.

1312141013153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312141013153 is an equidigital number, since it uses as much as digits as its factorization.

1312141013153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 1312141013153 its reverse (3513101412131), we get a palindrome (4825242425284).

The spelling of 1312141013153 in words is "one trillion, three hundred twelve billion, one hundred forty-one million, thirteen thousand, one hundred fifty-three".