103321300132000 has 192 divisors, whose sum is σ = 255310417908000. Its totient is φ = 41092689100800.

The previous prime is 103321300131997. The next prime is 103321300132003. The reversal of 103321300132000 is 231003123301.

It is an interprime number because it is at equal distance from previous prime (103321300131997) and next prime (103321300132003).

It can be written as a sum of positive squares in 16 ways, for example, as 3669875838864 + 99651424293136 = 1915692^2 + 9982556^2 .

It is not an unprimeable number, because it can be changed into a prime (103321300132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504593666 + ... + 1504662334.

Almost surely, 2^{103321300132000} is an apocalyptic number.

103321300132000 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 103321300132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127655208954000).

103321300132000 is an abundant number, since it is smaller than the sum of its proper divisors (151989117776000).

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

103321300132000 is a wasteful number, since it uses less digits than its factorization.

103321300132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70836 (or 70818 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103321300132000 its reverse (231003123301), we get a palindrome (103552303255301).

The spelling of 103321300132000 in words is "one hundred three trillion, three hundred twenty-one billion, three hundred million, one hundred thirty-two thousand".