101113330032 has 180 divisors, whose sum is σ = 334275897384. Its totient is φ = 28283374080.

The previous prime is 101113330027. The next prime is 101113330033. The reversal of 101113330032 is 230033311101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101113329987 and 101113330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113330033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78838 + ... + 456554.

Almost surely, 2^101113330032 is an apocalyptic number.

101113330032 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 101113330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167137948692).

101113330032 is an abundant number, since it is smaller than the sum of its proper divisors (233162567352).

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

101113330032 is a wasteful number, since it uses less digits than its factorization.

101113330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377768 (or 377746 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101113330032 its reverse (230033311101), we get a palindrome (331146641133).

The spelling of 101113330032 in words is "one hundred one billion, one hundred thirteen million, three hundred thirty thousand, thirty-two".