100312333320000 has 280 divisors, whose sum is σ = 342354572868352. Its totient is φ = 25887052800000.

The previous prime is 100312333319993. The next prime is 100312333320007. The reversal of 100312333320000 is 23333213001.

It is an interprime number because it is at equal distance from previous prime (100312333319993) and next prime (100312333320007).

It is a super-2 number, since 2×100312333320000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312333320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9762841 + ... + 17202840.

Almost surely, 2^{100312333320000} is an apocalyptic number.

100312333320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312333320000 is an abundant number, since it is smaller than the sum of its proper divisors (242042239548352).

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

100312333320000 is an equidigital number, since it uses as much as digits as its factorization.

100312333320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26965747 (or 26965722 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100312333320000 its reverse (23333213001), we get a palindrome (100335666533001).

The spelling of 100312333320000 in words is "one hundred trillion, three hundred twelve billion, three hundred thirty-three million, three hundred twenty thousand".