10330100032 has 168 divisors, whose sum is σ = 25043001984. Its totient is φ = 4207408128.

The previous prime is 10330100029. The next prime is 10330100047. The reversal of 10330100032 is 23000103301.

It is a super-2 number, since 2×10330100032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10330099985 and 10330100021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14208853 + ... + 14209579.

It is an arithmetic number, because the mean of its divisors is an integer number (149065488).

Almost surely, 2^10330100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521500992).

10330100032 is an abundant number, since it is smaller than the sum of its proper divisors (14712901952).

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

10330100032 is a wasteful number, since it uses less digits than its factorization.

10330100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10330100032 its reverse (23000103301), we get a palindrome (33330203333).

The spelling of 10330100032 in words is "ten billion, three hundred thirty million, one hundred thousand, thirty-two".