1311033112001 has 8 divisors (see below), whose sum is σ = 1315685556360. Its totient is φ = 1306388155392.

The previous prime is 1311033111959. The next prime is 1311033112007. The reversal of 1311033112001 is 1002113301131.

It can be written as a sum of positive squares in 4 ways, for example, as 523311376 + 1310509800625 = 22876^2 + 1144775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1311033112001 is a prime.

It is a super-2 number, since 2×1311033112001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311033112007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521020 + ... + 2221613.

It is an arithmetic number, because the mean of its divisors is an integer number (164460694545).

Almost surely, 2^{1311033112001} is an apocalyptic number.

It is an amenable number.

1311033112001 is a deficient number, since it is larger than the sum of its proper divisors (4652444359).

1311033112001 is an equidigital number, since it uses as much as digits as its factorization.

1311033112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743875.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1311033112001 its reverse (1002113301131), we get a palindrome (2313146413132).

The spelling of 1311033112001 in words is "one trillion, three hundred eleven billion, thirty-three million, one hundred twelve thousand, one".