100321312133123 has 8 divisors (see below), whose sum is σ = 108059982775296. Its totient is φ = 92864047696200.

The previous prime is 100321312133087. The next prime is 100321312133227. The reversal of 100321312133123 is 321331213123001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100321312133123 - 2²⁴ = 100321295355907 is a prime.

It is a super-2 number, since 2×100321312133123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100321312133092 and 100321312133101.

It is not an unprimeable number, because it can be changed into a prime (100321312103123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70351550573 + ... + 70351551998.

It is an arithmetic number, because the mean of its divisors is an integer number (13507497846912).

Almost surely, 2^{100321312133123} is an apocalyptic number.

100321312133123 is a deficient number, since it is larger than the sum of its proper divisors (7738670642173).

100321312133123 is a wasteful number, since it uses less digits than its factorization.

100321312133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140703102625.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 100321312133123 its reverse (321331213123001), we get a palindrome (421652525256124).

The spelling of 100321312133123 in words is "one hundred trillion, three hundred twenty-one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred twenty-three".