100113232033332 has 240 divisors, whose sum is σ = 299762420170752. Its totient is φ = 28540813942080.

The previous prime is 100113232033313. The next prime is 100113232033333. The reversal of 100113232033332 is 233330232311001.

100113232033332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 3 + 2 + 320 + 3 + 3 + 332 = 666.

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 = 100113232033296 and 100113232033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113232033333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10225021357 + ... + 10225031147.

Almost surely, 2^{100113232033332} is an apocalyptic number.

100113232033332 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 100113232033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149881210085376).

100113232033332 is an abundant number, since it is smaller than the sum of its proper divisors (199649188137420).

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

100113232033332 is a wasteful number, since it uses less digits than its factorization.

100113232033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19280 (or 19269 counting only the distinct ones).

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

Adding to 100113232033332 its reverse (233330232311001), we get a palindrome (333443464344333).

The spelling of 100113232033332 in words is "one hundred trillion, one hundred thirteen billion, two hundred thirty-two million, thirty-three thousand, three hundred thirty-two".