101123312302323 has 128 divisors (see below), whose sum is σ = 156122824704000. Its totient is φ = 64621377555840.

The previous prime is 101123312302303. The next prime is 101123312302351. The reversal of 101123312302323 is 323203213321101.

101123312302323 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 3 + 31 + 2 + 302 + 323 = 666.

It is not a de Polignac number, because 101123312302323 - 2¹⁰ = 101123312301299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101123312302303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30468004458 + ... + 30468007776.

It is an arithmetic number, because the mean of its divisors is an integer number (1219709568000).

Almost surely, 2^{101123312302323} is an apocalyptic number.

101123312302323 is a deficient number, since it is larger than the sum of its proper divisors (54999512401677).

101123312302323 is a wasteful number, since it uses less digits than its factorization.

101123312302323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101123312302323 its reverse (323203213321101), we get a palindrome (424326525623424).

The spelling of 101123312302323 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred twelve million, three hundred two thousand, three hundred twenty-three".