101312122113 has 8 divisors (see below), whose sum is σ = 150092032800. Its totient is φ = 67541414724.

The previous prime is 101312122063. The next prime is 101312122147. The reversal of 101312122113 is 311221213101.

It is not a de Polignac number, because 101312122113 - 2¹⁸ = 101311859969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101312122193) 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 7 ways as a sum of consecutive naturals, for example, 1876150383 + ... + 1876150436.

It is an arithmetic number, because the mean of its divisors is an integer number (18761504100).

Almost surely, 2^101312122113 is an apocalyptic number.

It is an amenable number.

101312122113 is a deficient number, since it is larger than the sum of its proper divisors (48779910687).

101312122113 is an equidigital number, since it uses as much as digits as its factorization.

101312122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752300828 (or 3752300822 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101312122113 its reverse (311221213101), we get a palindrome (412533335214).

The spelling of 101312122113 in words is "one hundred one billion, three hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".