101131100003323 has 16 divisors (see below), whose sum is σ = 111571170350976. Its totient is φ = 91071317237760.

The previous prime is 101131100003317. The next prime is 101131100003377. The reversal of 101131100003323 is 323300001131101.

It is a cyclic number.

It is not a de Polignac number, because 101131100003323 - 2¹⁷ = 101131099872251 is a prime.

It is a super-3 number, since 3×101131100003323³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101131100003323.

It is not an unprimeable number, because it can be changed into a prime (101131100004323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9818811 + ... + 17282107.

It is an arithmetic number, because the mean of its divisors is an integer number (6973198146936).

Almost surely, 2^{101131100003323} is an apocalyptic number.

101131100003323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101131100003323 is a deficient number, since it is larger than the sum of its proper divisors (10440070347653).

101131100003323 is a wasteful number, since it uses less digits than its factorization.

101131100003323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488774.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101131100003323 its reverse (323300001131101), we get a palindrome (424431101134424).

The spelling of 101131100003323 in words is "one hundred one trillion, one hundred thirty-one billion, one hundred million, three thousand, three hundred twenty-three".