10100110111013 has 16 divisors (see below), whose sum is σ = 10933918368240. Its totient is φ = 9274431688704.

The previous prime is 10100110110997. The next prime is 10100110111027. The reversal of 10100110111013 is 31011101100101.

It can be written as a sum of positive squares in 8 ways, for example, as 1363250061889 + 8736860049124 = 1167583^2 + 2955818^2 .

It is not a de Polignac number, because 10100110111013 - 2⁴ = 10100110110997 is a prime.

It is a super-3 number, since 3×10100110111013³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100110110985 and 10100110111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110111913) 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, 60405995 + ... + 60572967.

It is an arithmetic number, because the mean of its divisors is an integer number (683369898015).

Almost surely, 2^{10100110111013} is an apocalyptic number.

10100110111013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100110111013 is a deficient number, since it is larger than the sum of its proper divisors (833808257227).

10100110111013 is a wasteful number, since it uses less digits than its factorization.

10100110111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191288.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10100110111013 its reverse (31011101100101), we get a palindrome (41111211211114).

The spelling of 10100110111013 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, thirteen".