1011101110013 has 8 divisors (see below), whose sum is σ = 1027727676576. Its totient is φ = 994476193200.

The previous prime is 1011101109983. The next prime is 1011101110027. The reversal of 1011101110013 is 3100111011101.

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 1011101110013 - 2¹⁰ = 1011101108989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011101109976 and 1011101110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101110913) 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, 855170 + ... + 1659372.

It is an arithmetic number, because the mean of its divisors is an integer number (128465959572).

Almost surely, 2^{1011101110013} is an apocalyptic number.

It is an amenable number.

1011101110013 is a deficient number, since it is larger than the sum of its proper divisors (16626566563).

1011101110013 is an equidigital number, since it uses as much as digits as its factorization.

1011101110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824875.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1011101110013 its reverse (3100111011101), we get a palindrome (4111212121114).

The spelling of 1011101110013 in words is "one trillion, eleven billion, one hundred one million, one hundred ten thousand, thirteen".