1312243101001 has 24 divisors (see below), whose sum is σ = 1535695463304. Its totient is φ = 1117997798400.

The previous prime is 1312243100989. The next prime is 1312243101019. The reversal of 1312243101001 is 1001013422131.

It can be written as a sum of positive squares in 4 ways, for example, as 70560000 + 1312172541001 = 8400^2 + 1145501^2 .

It is not a de Polignac number, because 1312243101001 - 2¹⁵ = 1312243068233 is a prime.

It is a super-2 number, since 2×1312243101001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312243101001.

It is not an unprimeable number, because it can be changed into a prime (1312243101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38239551 + ... + 38273851.

It is an arithmetic number, because the mean of its divisors is an integer number (63987310971).

Almost surely, 2^{1312243101001} is an apocalyptic number.

It is an amenable number.

1312243101001 is a deficient number, since it is larger than the sum of its proper divisors (223452362303).

1312243101001 is a wasteful number, since it uses less digits than its factorization.

1312243101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39001 (or 38994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1312243101001 its reverse (1001013422131), we get a palindrome (2313256523132).

The spelling of 1312243101001 in words is "one trillion, three hundred twelve billion, two hundred forty-three million, one hundred one thousand, one".