1311100011013 has 8 divisors (see below), whose sum is σ = 1414096437600. Its totient is φ = 1208409667248.

The previous prime is 1311100010999. The next prime is 1311100011029. The reversal of 1311100011013 is 3101100011131.

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-1311100011013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311100010984 and 1311100011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311100011043) 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, 76511803 + ... + 76528936.

It is an arithmetic number, because the mean of its divisors is an integer number (176762054700).

Almost surely, 2^{1311100011013} is an apocalyptic number.

1311100011013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1311100011013 is a deficient number, since it is larger than the sum of its proper divisors (102996426587).

1311100011013 is a wasteful number, since it uses less digits than its factorization.

1311100011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153041411.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1311100011013 its reverse (3101100011131), we get a palindrome (4412200022144).

The spelling of 1311100011013 in words is "one trillion, three hundred eleven billion, one hundred million, eleven thousand, thirteen".