101113213000013 has 4 divisors (see below), whose sum is σ = 101113296870300. Its totient is φ = 101113129129728.

The previous prime is 101113213000003. The next prime is 101113213000031. The reversal of 101113213000013 is 310000312311101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58659622327849 + 42453590672164 = 7658957^2 + 6515642^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113213000013 - 2⁶ = 101113212999949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113212999955 and 101113213000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113213000003) 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 3 ways as a sum of consecutive naturals, for example, 40099988 + ... + 42546861.

It is an arithmetic number, because the mean of its divisors is an integer number (25278324217575).

Almost surely, 2^{101113213000013} is an apocalyptic number.

It is an amenable number.

101113213000013 is a deficient number, since it is larger than the sum of its proper divisors (83870287).

101113213000013 is an equidigital number, since it uses as much as digits as its factorization.

101113213000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83870286.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101113213000013 its reverse (310000312311101), we get a palindrome (411113525311114).

The spelling of 101113213000013 in words is "one hundred one trillion, one hundred thirteen billion, two hundred thirteen million, thirteen", and thus it is an aban number.