103131233302200 has 384 divisors, whose sum is σ = 328261489920000. Its totient is φ = 26768960409600.

The previous prime is 103131233302117. The next prime is 103131233302217. The reversal of 103131233302200 is 2203332131301.

103131233302200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 22671185526 + ... + 22671190074.

It is an arithmetic number, because the mean of its divisors is an integer number (854847630000).

Almost surely, 2^{103131233302200} is an apocalyptic number.

103131233302200 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 103131233302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164130744960000).

103131233302200 is an abundant number, since it is smaller than the sum of its proper divisors (225130256617800).

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

103131233302200 is a wasteful number, since it uses less digits than its factorization.

103131233302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103131233302200 its reverse (2203332131301), we get a palindrome (105334565433501).

The spelling of 103131233302200 in words is "one hundred three trillion, one hundred thirty-one billion, two hundred thirty-three million, three hundred two thousand, two hundred".