101130122313 has 96 divisors (see below), whose sum is σ = 170316656640. Its totient is φ = 57234885120.

The previous prime is 101130122243. The next prime is 101130122321. The reversal of 101130122313 is 313221031101.

101130122313 is a `hidden beast` number, since 101 + 130 + 122 + 313 = 666.

It is not a de Polignac number, because 101130122313 - 2¹⁰ = 101130121289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101130122333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18374520 + ... + 18380022.

It is an arithmetic number, because the mean of its divisors is an integer number (1774131840).

Almost surely, 2^101130122313 is an apocalyptic number.

It is an amenable number.

101130122313 is a deficient number, since it is larger than the sum of its proper divisors (69186534327).

101130122313 is a wasteful number, since it uses less digits than its factorization.

101130122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101130122313 its reverse (313221031101), we get a palindrome (414351153414).

The spelling of 101130122313 in words is "one hundred one billion, one hundred thirty million, one hundred twenty-two thousand, three hundred thirteen".