110001000010113 has 96 divisors (see below), whose sum is σ = 164497959075840. Its totient is φ = 70802504248320.

The previous prime is 110001000010001. The next prime is 110001000010129. The reversal of 110001000010113 is 311010000100011.

It is not a de Polignac number, because 110001000010113 - 2⁹ = 110001000009601 is a prime.

It is a super-2 number, since 2×110001000010113² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110001000010095 and 110001000010104.

It is not an unprimeable number, because it can be changed into a prime (110001000010613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5199261531 + ... + 5199282687.

It is an arithmetic number, because the mean of its divisors is an integer number (1713520407040).

Almost surely, 2^{110001000010113} is an apocalyptic number.

It is an amenable number.

110001000010113 is a deficient number, since it is larger than the sum of its proper divisors (54496959065727).

110001000010113 is a wasteful number, since it uses less digits than its factorization.

110001000010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21999 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 110001000010113 its reverse (311010000100011), we get a palindrome (421011000110124).

The spelling of 110001000010113 in words is "one hundred ten trillion, one billion, ten thousand, one hundred thirteen".