1313001101113 has 8 divisors (see below), whose sum is σ = 1497177726408. Its totient is φ = 1140706838784.

The previous prime is 1313001101107. The next prime is 1313001101119. The reversal of 1313001101113 is 3111011003131.

It is an interprime number because it is at equal distance from previous prime (1313001101107) and next prime (1313001101119).

It can be written as a sum of positive squares in 4 ways, for example, as 447202487824 + 865798613289 = 668732^2 + 930483^2 .

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-1313001101113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313001101119) 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, 2970590506 + ... + 2970590947.

It is an arithmetic number, because the mean of its divisors is an integer number (187147215801).

Almost surely, 2^{1313001101113} is an apocalyptic number.

1313001101113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313001101113 is a deficient number, since it is larger than the sum of its proper divisors (184176625295).

1313001101113 is a wasteful number, since it uses less digits than its factorization.

1313001101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941181483.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1313001101113 its reverse (3111011003131), we get a palindrome (4424012104244).

The spelling of 1313001101113 in words is "one trillion, three hundred thirteen billion, one million, one hundred one thousand, one hundred thirteen".