100330313313132 has 240 divisors, whose sum is σ = 301480277978880. Its totient is φ = 28500988924800.

The previous prime is 100330313313089. The next prime is 100330313313157. The reversal of 100330313313132 is 231313313033001.

100330313313132 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 0 + 313 + 31 + 313 + 2 = 666.

It is a super-2 number, since 2×100330313313132² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100330313313096 and 100330313313105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299387707 + ... + 299722637.

It is an arithmetic number, because the mean of its divisors is an integer number (1256167824912).

Almost surely, 2^{100330313313132} is an apocalyptic number.

100330313313132 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 100330313313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150740138989440).

100330313313132 is an abundant number, since it is smaller than the sum of its proper divisors (201149964665748).

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

100330313313132 is a wasteful number, since it uses less digits than its factorization.

100330313313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335714 (or 335703 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 100330313313132 its reverse (231313313033001), we get a palindrome (331643626346133).

The spelling of 100330313313132 in words is "one hundred trillion, three hundred thirty billion, three hundred thirteen million, three hundred thirteen thousand, one hundred thirty-two".