103323013200000 has 1728 divisors, whose sum is σ = 410936061299400. Its totient is φ = 24897945600000.

The previous prime is 103323013199941. The next prime is 103323013200007. The reversal of 103323013200000 is 2310323301.

103323013200000 is a `hidden beast` number, since 1 + 0 + 332 + 301 + 32 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27970474618944 + 75352538581056 = 5288712^2 + 8680584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103323013200007) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84070799386 + ... + 84070800614.

Almost surely, 2^{103323013200000} is an apocalyptic number.

103323013200000 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 103323013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205468030649700).

103323013200000 is an abundant number, since it is smaller than the sum of its proper divisors (307613048099400).

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

103323013200000 is a wasteful number, since it uses less digits than its factorization.

103323013200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103323013200000 its reverse (2310323301), we get a palindrome (103325323523301).

The spelling of 103323013200000 in words is "one hundred three trillion, three hundred twenty-three billion, thirteen million, two hundred thousand".