101300013121301 has 4 divisors (see below), whose sum is σ = 107258837422572. Its totient is φ = 95341188820032.

The previous prime is 101300013121213. The next prime is 101300013121339. The reversal of 101300013121301 is 103121310003101.

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 47872699380100 + 53427313741201 = 6919010^2 + 7309399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101300013121301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 5958824301253 = 101300013121301 / (1 + 0 + 1 + 3 + 0 + 0 + 0 + 1 + 3 + 1 + 2 + 1 + 3 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101300013121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300013121001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2979412150610 + ... + 2979412150643.

It is an arithmetic number, because the mean of its divisors is an integer number (26814709355643).

Almost surely, 2^{101300013121301} is an apocalyptic number.

It is an amenable number.

101300013121301 is a deficient number, since it is larger than the sum of its proper divisors (5958824301271).

101300013121301 is an equidigital number, since it uses as much as digits as its factorization.

101300013121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958824301270.

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

Adding to 101300013121301 its reverse (103121310003101), we get a palindrome (204421323124402).

The spelling of 101300013121301 in words is "one hundred one trillion, three hundred billion, thirteen million, one hundred twenty-one thousand, three hundred one".