100323312121312 has 144 divisors (see below), whose sum is σ = 231357183482880. Its totient is φ = 42696996072192.

The previous prime is 100323312121271. The next prime is 100323312121339. The reversal of 100323312121312 is 213121213323001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271884013 + ... + 272252755.

It is an arithmetic number, because the mean of its divisors is an integer number (1606647107520).

Almost surely, 2^{100323312121312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323312121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115678591741440).

100323312121312 is an abundant number, since it is smaller than the sum of its proper divisors (131033871361568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100323312121312 is a wasteful number, since it uses less digits than its factorization.

100323312121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369973 (or 369958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 100323312121312 its reverse (213121213323001), we get a palindrome (313444525444313).

The spelling of 100323312121312 in words is "one hundred trillion, three hundred twenty-three billion, three hundred twelve million, one hundred twenty-one thousand, three hundred twelve".