1001101313013 has 8 divisors (see below), whose sum is σ = 1339093718976. Its totient is φ = 665254891200.

The previous prime is 1001101312949. The next prime is 1001101313059. The reversal of 1001101313013 is 3103131011001.

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

It is not a de Polignac number, because 1001101313013 - 2⁶ = 1001101312949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001101312983 and 1001101313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101113013) 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, 536494948 + ... + 536496813.

It is an arithmetic number, because the mean of its divisors is an integer number (167386714872).

Almost surely, 2^{1001101313013} is an apocalyptic number.

It is an amenable number.

1001101313013 is a deficient number, since it is larger than the sum of its proper divisors (337992405963).

1001101313013 is a wasteful number, since it uses less digits than its factorization.

1001101313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072992075.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1001101313013 its reverse (3103131011001), we get a palindrome (4104232324014).

The spelling of 1001101313013 in words is "one trillion, one billion, one hundred one million, three hundred thirteen thousand, thirteen".