10003032332020 has 288 divisors, whose sum is σ = 27503855678880. Its totient is φ = 3025107025920.

The previous prime is 10003032332009. The next prime is 10003032332087. The reversal of 10003032332020 is 2023323030001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3836223642384 + 6166808689636 = 1958628^2 + 2483306^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35698060 + ... + 35977180.

It is an arithmetic number, because the mean of its divisors is an integer number (95499498885).

Almost surely, 2^{10003032332020} is an apocalyptic number.

10003032332020 is a gapful number since it is divisible by the number (10) 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 10003032332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751927839440).

10003032332020 is an abundant number, since it is smaller than the sum of its proper divisors (17500823346860).

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

10003032332020 is a wasteful number, since it uses less digits than its factorization.

10003032332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279283 (or 279274 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 10003032332020 its reverse (2023323030001), we get a palindrome (12026355362021).

The spelling of 10003032332020 in words is "ten trillion, three billion, thirty-two million, three hundred thirty-two thousand, twenty".