1311002113313 has 8 divisors (see below), whose sum is σ = 1417299582720. Its totient is φ = 1208434379760.

The previous prime is 1311002113241. The next prime is 1311002113319. The reversal of 1311002113313 is 3133112001131.

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

It is a cyclic number.

It is not a de Polignac number, because 1311002113313 - 2³⁶ = 1242282636577 is a prime.

It is a super-2 number, since 2×1311002113313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311002113319) 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 7 ways as a sum of consecutive naturals, for example, 932433233 + ... + 932434638.

It is an arithmetic number, because the mean of its divisors is an integer number (177162447840).

Almost surely, 2^{1311002113313} is an apocalyptic number.

It is an amenable number.

1311002113313 is a deficient number, since it is larger than the sum of its proper divisors (106297469407).

1311002113313 is a wasteful number, since it uses less digits than its factorization.

1311002113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864867927.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1311002113313 its reverse (3133112001131), we get a palindrome (4444114114444).

The spelling of 1311002113313 in words is "one trillion, three hundred eleven billion, two million, one hundred thirteen thousand, three hundred thirteen".