10110880013 has 8 divisors (see below), whose sum is σ = 11094086808. Its totient is φ = 9157022784.

The previous prime is 10110880009. The next prime is 10110880037. The reversal of 10110880013 is 31008801101.

10110880013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2563093129 + 7547786884 = 50627^2 + 86878^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10110880013 - 2² = 10110880009 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 (10113880013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7336670 + ... + 7338047.

It is an arithmetic number, because the mean of its divisors is an integer number (1386760851).

Almost surely, 2^10110880013 is an apocalyptic number.

10110880013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10110880013 is a deficient number, since it is larger than the sum of its proper divisors (983206795).

10110880013 is a wasteful number, since it uses less digits than its factorization.

10110880013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674783.

The product of its (nonzero) digits is 192, while the sum is 23.

The spelling of 10110880013 in words is "ten billion, one hundred ten million, eight hundred eighty thousand, thirteen".