103013030320200 has 2304 divisors, whose sum is σ = 479740859619840. Its totient is φ = 19116269568000.

The previous prime is 103013030320171. The next prime is 103013030320241. The reversal of 103013030320200 is 2023030310301.

103013030320200 is a `hidden beast` number, since 1 + 0 + 30 + 130 + 303 + 2 + 0 + 200 = 666.

It is a super-2 number, since 2×103013030320200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12066650332 + ... + 12066658868.

It is an arithmetic number, because the mean of its divisors is an integer number (208220859210).

Almost surely, 2^{103013030320200} is an apocalyptic number.

103013030320200 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 103013030320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239870429809920).

103013030320200 is an abundant number, since it is smaller than the sum of its proper divisors (376727829299640).

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

103013030320200 is a wasteful number, since it uses less digits than its factorization.

103013030320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8796 counting only the distinct ones).

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

Adding to 103013030320200 its reverse (2023030310301), we get a palindrome (105036060630501).

The spelling of 103013030320200 in words is "one hundred three trillion, thirteen billion, thirty million, three hundred twenty thousand, two hundred".