101320131312121 has 4 divisors (see below), whose sum is σ = 105725354412672. Its totient is φ = 96914908211572.

The previous prime is 101320131312073. The next prime is 101320131312149. The reversal of 101320131312121 is 121213131023101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101320131312121 - 2¹⁹ = 101320130787833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101320131312092 and 101320131312101.

It is not an unprimeable number, because it can be changed into a prime (101320131318121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2202611550241 + ... + 2202611550286.

It is an arithmetic number, because the mean of its divisors is an integer number (26431338603168).

Almost surely, 2^{101320131312121} is an apocalyptic number.

It is an amenable number.

101320131312121 is a deficient number, since it is larger than the sum of its proper divisors (4405223100551).

101320131312121 is an equidigital number, since it uses as much as digits as its factorization.

101320131312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405223100550.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 101320131312121 its reverse (121213131023101), we get a palindrome (222533262335222).

The spelling of 101320131312121 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-one million, three hundred twelve thousand, one hundred twenty-one".