101313132100123 has 16 divisors (see below), whose sum is σ = 104248307179296. Its totient is φ = 98415898214400.

The previous prime is 101313132100109. The next prime is 101313132100139. The reversal of 101313132100123 is 321001231313101.

It is a cyclic number.

It is not a de Polignac number, because 101313132100123 - 2⁵ = 101313132100091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101313132100094 and 101313132100103.

It is not an unprimeable number, because it can be changed into a prime (101313132100423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550801336 + ... + 550985242.

It is an arithmetic number, because the mean of its divisors is an integer number (6515519198706).

Almost surely, 2^{101313132100123} is an apocalyptic number.

101313132100123 is a deficient number, since it is larger than the sum of its proper divisors (2935175079173).

101313132100123 is a wasteful number, since it uses less digits than its factorization.

101313132100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286974.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101313132100123 its reverse (321001231313101), we get a palindrome (422314363413224).

The spelling of 101313132100123 in words is "one hundred one trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred thousand, one hundred twenty-three".