101121330313 has 2 divisors, whose sum is σ = 101121330314. Its totient is φ = 101121330312.

The previous prime is 101121330311. The next prime is 101121330353. The reversal of 101121330313 is 313033121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54899770249 + 46221560064 = 234307^2 + 214992^2 .

It is an emirp because it is prime and its reverse (313033121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101121330313 - 2¹ = 101121330311 is a prime.

Together with 101121330311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101121330311) 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 as a sum of consecutive naturals, namely, 50560665156 + 50560665157.

It is an arithmetic number, because the mean of its divisors is an integer number (50560665157).

Almost surely, 2^101121330313 is an apocalyptic number.

It is an amenable number.

101121330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121330313 is an equidigital number, since it uses as much as digits as its factorization.

101121330313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101121330313 its reverse (313033121101), we get a palindrome (414154451414).

The spelling of 101121330313 in words is "one hundred one billion, one hundred twenty-one million, three hundred thirty thousand, three hundred thirteen".