100032111331032 has 128 divisors (see below), whose sum is σ = 262043812800000. Its totient is φ = 31761293245440.

The previous prime is 100032111331013. The next prime is 100032111331073. The reversal of 100032111331032 is 230133111230001.

It is a happy number.

It is a congruent number.

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, 126587644 + ... + 127375412.

It is an arithmetic number, because the mean of its divisors is an integer number (2047217287500).

Almost surely, 2^{100032111331032} is an apocalyptic number.

100032111331032 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 100032111331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131021906400000).

100032111331032 is an abundant number, since it is smaller than the sum of its proper divisors (162011701468968).

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

100032111331032 is a wasteful number, since it uses less digits than its factorization.

100032111331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788761 (or 788757 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100032111331032 its reverse (230133111230001), we get a palindrome (330165222561033).

The spelling of 100032111331032 in words is "one hundred trillion, thirty-two billion, one hundred eleven million, three hundred thirty-one thousand, thirty-two".