1144101312313 has 2 divisors, whose sum is σ = 1144101312314. Its totient is φ = 1144101312312.

The previous prime is 1144101312287. The next prime is 1144101312391. The reversal of 1144101312313 is 3132131014411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 703003433209 + 441097879104 = 838453^2 + 664152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1144101312313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1144161312313) 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, 572050656156 + 572050656157.

It is an arithmetic number, because the mean of its divisors is an integer number (572050656157).

Almost surely, 2^{1144101312313} is an apocalyptic number.

It is an amenable number.

1144101312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1144101312313 is an equidigital number, since it uses as much as digits as its factorization.

1144101312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1144101312313 its reverse (3132131014411), we get a palindrome (4276232326724).

The spelling of 1144101312313 in words is "one trillion, one hundred forty-four billion, one hundred one million, three hundred twelve thousand, three hundred thirteen".