100123312113331 has 16 divisors (see below), whose sum is σ = 108098899217568. Its totient is φ = 92186847878400.

The previous prime is 100123312113313. The next prime is 100123312113401. The reversal of 100123312113331 is 133311213321001.

It is a cyclic number.

It is not a de Polignac number, because 100123312113331 - 2⁹ = 100123312112819 is a prime.

It is a super-3 number, since 3×100123312113331³ (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 junction number, because it is equal to n+sod(n) for n = 100123312113296 and 100123312113305.

It is not an unprimeable number, because it can be changed into a prime (100123312113631) 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, 297781671 + ... + 298117711.

It is an arithmetic number, because the mean of its divisors is an integer number (6756181201098).

Almost surely, 2^{100123312113331} is an apocalyptic number.

100123312113331 is a deficient number, since it is larger than the sum of its proper divisors (7975587104237).

100123312113331 is a wasteful number, since it uses less digits than its factorization.

100123312113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394182.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 100123312113331 its reverse (133311213321001), we get a palindrome (233434525434332).

The spelling of 100123312113331 in words is "one hundred trillion, one hundred twenty-three billion, three hundred twelve million, one hundred thirteen thousand, three hundred thirty-one".