101332111113123 has 128 divisors (see below), whose sum is σ = 165853674455040. Its totient is φ = 54318868101120.

The previous prime is 101332111113059. The next prime is 101332111113203. The reversal of 101332111113123 is 321311111233101.

It is not a de Polignac number, because 101332111113123 - 2⁶ = 101332111113059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101332111113093 and 101332111113102.

It is not an unprimeable number, because it can be changed into a prime (101332111117123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66135661 + ... + 67650497.

It is an arithmetic number, because the mean of its divisors is an integer number (1295731831680).

Almost surely, 2^{101332111113123} is an apocalyptic number.

101332111113123 is a deficient number, since it is larger than the sum of its proper divisors (64521563341917).

101332111113123 is a wasteful number, since it uses less digits than its factorization.

101332111113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515017.

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 101332111113123 its reverse (321311111233101), we get a palindrome (422643222346224).

The spelling of 101332111113123 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred eleven million, one hundred thirteen thousand, one hundred twenty-three".