101103003133123 has 16 divisors (see below), whose sum is σ = 112722961029120. Its totient is φ = 90116769891456.

The previous prime is 101103003133051. The next prime is 101103003133127. The reversal of 101103003133123 is 321331300301101.

It is not a de Polignac number, because 101103003133123 - 2⁹ = 101103003132611 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101103003133094 and 101103003133103.

It is not an unprimeable number, because it can be changed into a prime (101103003133127) 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, 52524411 + ... + 54415252.

It is an arithmetic number, because the mean of its divisors is an integer number (7045185064320).

Almost surely, 2^{101103003133123} is an apocalyptic number.

101103003133123 is a deficient number, since it is larger than the sum of its proper divisors (11619957895997).

101103003133123 is a wasteful number, since it uses less digits than its factorization.

101103003133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106942626.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101103003133123 its reverse (321331300301101), we get a palindrome (422434303434224).

The spelling of 101103003133123 in words is "one hundred one trillion, one hundred three billion, three million, one hundred thirty-three thousand, one hundred twenty-three".