101300013013 has 4 divisors (see below), whose sum is σ = 104793116940. Its totient is φ = 97806909088.

The previous prime is 101300012999. The next prime is 101300013019. The reversal of 101300013013 is 310310003101.

It is a happy number.

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 21743861764 + 79556151249 = 147458^2 + 282057^2 .

It is a cyclic number.

It is not a de Polignac number, because 101300013013 - 2¹⁷ = 101299881941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101300012984 and 101300013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300013019) 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, 1746551920 + ... + 1746551977.

It is an arithmetic number, because the mean of its divisors is an integer number (26198279235).

Almost surely, 2^101300013013 is an apocalyptic number.

It is an amenable number.

101300013013 is a deficient number, since it is larger than the sum of its proper divisors (3493103927).

101300013013 is an equidigital number, since it uses as much as digits as its factorization.

101300013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493103926.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101300013013 its reverse (310310003101), we get a palindrome (411610016114).

The spelling of 101300013013 in words is "one hundred one billion, three hundred million, thirteen thousand, thirteen".