111000210100013 has 8 divisors (see below), whose sum is σ = 119881205535000. Its totient is φ = 102168145770048.

The previous prime is 111000210099973. The next prime is 111000210100037. The reversal of 111000210100013 is 310001012000111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46278876968164 + 64721333131849 = 6802858^2 + 8044957^2 .

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 111000210100013 - 2¹² = 111000210095917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111000210099967 and 111000210100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000210100063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12232771538 + ... + 12232780611.

It is an arithmetic number, because the mean of its divisors is an integer number (14985150691875).

Almost surely, 2^{111000210100013} is an apocalyptic number.

111000210100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111000210100013 is a deficient number, since it is larger than the sum of its proper divisors (8880995434987).

111000210100013 is a wasteful number, since it uses less digits than its factorization.

111000210100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24465552511.

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

Adding to 111000210100013 its reverse (310001012000111), we get a palindrome (421001222100124).

The spelling of 111000210100013 in words is "one hundred eleven trillion, two hundred ten million, one hundred thousand, thirteen".