100330002313120 has 192 divisors, whose sum is σ = 248045770506240. Its totient is φ = 38303579059200.

The previous prime is 100330002313111. The next prime is 100330002313169. The reversal of 100330002313120 is 21313200033001.

It is a super-2 number, since 2×100330002313120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356825709 + ... + 357106771.

It is an arithmetic number, because the mean of its divisors is an integer number (1291905054720).

Almost surely, 2^{100330002313120} is an apocalyptic number.

100330002313120 is a gapful number since it is divisible by the number (10) 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 100330002313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124022885253120).

100330002313120 is an abundant number, since it is smaller than the sum of its proper divisors (147715768193120).

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

100330002313120 is a wasteful number, since it uses less digits than its factorization.

100330002313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282099 (or 282091 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100330002313120 its reverse (21313200033001), we get a palindrome (121643202346121).

The spelling of 100330002313120 in words is "one hundred trillion, three hundred thirty billion, two million, three hundred thirteen thousand, one hundred twenty".