1001101010113 has 8 divisors (see below), whose sum is σ = 1012626271232. Its totient is φ = 989632664496.

The previous prime is 1001101010111. The next prime is 1001101010137. The reversal of 1001101010113 is 3110101011001.

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 1001101010113 - 2¹ = 1001101010111 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001101010113.

It is not an unprimeable number, because it can be changed into a prime (1001101010111) 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, 14193495 + ... + 14263852.

It is an arithmetic number, because the mean of its divisors is an integer number (126578283904).

Almost surely, 2^{1001101010113} is an apocalyptic number.

It is an amenable number.

1001101010113 is a deficient number, since it is larger than the sum of its proper divisors (11525261119).

1001101010113 is a wasteful number, since it uses less digits than its factorization.

1001101010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28457751.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1001101010113 its reverse (3110101011001), we get a palindrome (4111202021114).

The spelling of 1001101010113 in words is "one trillion, one billion, one hundred one million, ten thousand, one hundred thirteen".