101101001001013 has 16 divisors (see below), whose sum is σ = 113236441876096. Its totient is φ = 89659352744640.

The previous prime is 101101001000977. The next prime is 101101001001023. The reversal of 101101001001013 is 310100100101101.

It is a cyclic number.

It is not a de Polignac number, because 101101001001013 - 2⁹ = 101101001000501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482428745 + ... + 1482496942.

It is an arithmetic number, because the mean of its divisors is an integer number (7077277617256).

Almost surely, 2^{101101001001013} is an apocalyptic number.

101101001001013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101101001001013 is a deficient number, since it is larger than the sum of its proper divisors (12135440875083).

101101001001013 is a wasteful number, since it uses less digits than its factorization.

101101001001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964925804.

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

Adding to 101101001001013 its reverse (310100100101101), we get a palindrome (411201101102114).

The spelling of 101101001001013 in words is "one hundred one trillion, one hundred one billion, one million, one thousand, thirteen".