103001332000 has 144 divisors (see below), whose sum is σ = 294393081528. Its totient is φ = 35314675200.

The previous prime is 103001331929. The next prime is 103001332013. The reversal of 103001332000 is 233100301.

It can be written as a sum of positive squares in 4 ways, for example, as 17370185616 + 85631146384 = 131796^2 + 292628^2 .

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, 66759 + ... + 458758.

Almost surely, 2^103001332000 is an apocalyptic number.

103001332000 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 103001332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147196540764).

103001332000 is an abundant number, since it is smaller than the sum of its proper divisors (191391749528).

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

103001332000 is an equidigital number, since it uses as much as digits as its factorization.

103001332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525556 (or 525531 counting only the distinct ones).

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

Adding to 103001332000 its reverse (233100301), we get a palindrome (103234432301).

The spelling of 103001332000 in words is "one hundred three billion, one million, three hundred thirty-two thousand".