1001311101013 has 8 divisors (see below), whose sum is σ = 1005780877920. Its totient is φ = 996841839600.

The previous prime is 1001311100989. The next prime is 1001311101041. The reversal of 1001311101013 is 3101011131001.

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 1001311101013 - 2¹⁷ = 1001310969941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001311100984 and 1001311101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001311101913) 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, 4068843 + ... + 4307911.

It is an arithmetic number, because the mean of its divisors is an integer number (125722609740).

Almost surely, 2^{1001311101013} is an apocalyptic number.

It is an amenable number.

1001311101013 is a deficient number, since it is larger than the sum of its proper divisors (4469776907).

1001311101013 is a wasteful number, since it uses less digits than its factorization.

1001311101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257747.

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

Adding to 1001311101013 its reverse (3101011131001), we get a palindrome (4102322232014).

The spelling of 1001311101013 in words is "one trillion, one billion, three hundred eleven million, one hundred one thousand, thirteen".