101301303313121 has 4 divisors (see below), whose sum is σ = 101301323722500. Its totient is φ = 101301282903744.

The previous prime is 101301303313099. The next prime is 101301303313153. The reversal of 101301303313121 is 121313303103101.

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 8666664966400 + 92634638346721 = 2943920^2 + 9624689^2 .

It is a cyclic number.

It is not a de Polignac number, because 101301303313121 - 2⁶ = 101301303313057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101301303316121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2577005 + ... + 14465253.

It is an arithmetic number, because the mean of its divisors is an integer number (25325330930625).

Almost surely, 2^{101301303313121} is an apocalyptic number.

It is an amenable number.

101301303313121 is a deficient number, since it is larger than the sum of its proper divisors (20409379).

101301303313121 is an equidigital number, since it uses as much as digits as its factorization.

101301303313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409378.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101301303313121 its reverse (121313303103101), we get a palindrome (222614606416222).

The spelling of 101301303313121 in words is "one hundred one trillion, three hundred one billion, three hundred three million, three hundred thirteen thousand, one hundred twenty-one".