103113330130200 has 384 divisors, whose sum is σ = 347681991928320. Its totient is φ = 25129159680000.

The previous prime is 103113330130177. The next prime is 103113330130303. The reversal of 103113330130200 is 2031033311301.

It is a super-2 number, since 2×103113330130200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326794912 + ... + 327110288.

It is an arithmetic number, because the mean of its divisors is an integer number (905421853980).

Almost surely, 2^{103113330130200} is an apocalyptic number.

103113330130200 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 103113330130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173840995964160).

103113330130200 is an abundant number, since it is smaller than the sum of its proper divisors (244568661798120).

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

103113330130200 is a wasteful number, since it uses less digits than its factorization.

103113330130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315827 (or 315818 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103113330130200 its reverse (2031033311301), we get a palindrome (105144363441501).

The spelling of 103113330130200 in words is "one hundred three trillion, one hundred thirteen billion, three hundred thirty million, one hundred thirty thousand, two hundred".