100023312333312 has 320 divisors, whose sum is σ = 311711664950400. Its totient is φ = 31580961177600.

The previous prime is 100023312333277. The next prime is 100023312333397. The reversal of 100023312333312 is 213333213320001.

100023312333312 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 3 + 3 + 12 + 333 + 312 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727459562 + ... + 1727517462.

It is an arithmetic number, because the mean of its divisors is an integer number (974098952970).

Almost surely, 2^{100023312333312} is an apocalyptic number.

100023312333312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023312333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155855832475200).

100023312333312 is an abundant number, since it is smaller than the sum of its proper divisors (211688352617088).

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

100023312333312 is an equidigital number, since it uses as much as digits as its factorization.

100023312333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64524 (or 64502 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100023312333312 its reverse (213333213320001), we get a palindrome (313356525653313).

The spelling of 100023312333312 in words is "one hundred trillion, twenty-three billion, three hundred twelve million, three hundred thirty-three thousand, three hundred twelve".