20001100110113 has 8 divisors (see below), whose sum is σ = 20051158773000. Its totient is φ = 19951047088128.

The previous prime is 20001100110109. The next prime is 20001100110137. The reversal of 20001100110113 is 31101100110002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12944941976464 + 7056158133649 = 3597908^2 + 2656343^2 .

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 20001100110113 - 2² = 20001100110109 is a prime.

It is a super-2 number, since 2×20001100110113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20001100110094 and 20001100110103.

It is not an unprimeable number, because it can be changed into a prime (20001100110413) 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, 5735345 + ... + 8537937.

It is an arithmetic number, because the mean of its divisors is an integer number (2506394846625).

Almost surely, 2^{20001100110113} is an apocalyptic number.

It is an amenable number.

20001100110113 is a deficient number, since it is larger than the sum of its proper divisors (50058662887).

20001100110113 is a wasteful number, since it uses less digits than its factorization.

20001100110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820451.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 20001100110113 its reverse (31101100110002), we get a palindrome (51102200220115).

The spelling of 20001100110113 in words is "twenty trillion, one billion, one hundred million, one hundred ten thousand, one hundred thirteen".