100040034113 has 4 divisors (see below), whose sum is σ = 105924742020. Its totient is φ = 94155326208.

The previous prime is 100040034097. The next prime is 100040034119. The reversal of 100040034113 is 311430040001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311430040001 = 4729 ⋅65855369.

It can be written as a sum of positive squares in 2 ways, for example, as 93039030529 + 7001003584 = 305023^2 + 83672^2 .

It is a cyclic number.

It is not a de Polignac number, because 100040034113 - 2⁴ = 100040034097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 5884707889 = 100040034113 / (1 + 0 + 0 + 0 + 4 + 0 + 0 + 3 + 4 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100040034091 and 100040034100.

It is not an unprimeable number, because it can be changed into a prime (100040034119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2942353928 + ... + 2942353961.

It is an arithmetic number, because the mean of its divisors is an integer number (26481185505).

Almost surely, 2^100040034113 is an apocalyptic number.

It is an amenable number.

100040034113 is a deficient number, since it is larger than the sum of its proper divisors (5884707907).

100040034113 is an equidigital number, since it uses as much as digits as its factorization.

100040034113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884707906.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100040034113 its reverse (311430040001), we get a palindrome (411470074114).

The spelling of 100040034113 in words is "one hundred billion, forty million, thirty-four thousand, one hundred thirteen".