103030200213000 has 256 divisors, whose sum is σ = 324584873533440. Its totient is φ = 27207944064000.

The previous prime is 103030200212983. The next prime is 103030200213001. The reversal of 103030200213000 is 312002030301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (103030200213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205871074 + ... + 206370926.

It is an arithmetic number, because the mean of its divisors is an integer number (1267909662240).

Almost surely, 2^{103030200213000} is an apocalyptic number.

103030200213000 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 103030200213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162292436766720).

103030200213000 is an abundant number, since it is smaller than the sum of its proper divisors (221554673320440).

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

103030200213000 is a wasteful number, since it uses less digits than its factorization.

103030200213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500545 (or 500531 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103030200213000 its reverse (312002030301), we get a palindrome (103342202243301).

The spelling of 103030200213000 in words is "one hundred three trillion, thirty billion, two hundred million, two hundred thirteen thousand".