103233220313300 has 288 divisors, whose sum is σ = 289989879459840. Its totient is φ = 30952393920000.

The previous prime is 103233220313297. The next prime is 103233220313303. The reversal of 103233220313300 is 3313022332301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103233220313297) and next prime (103233220313303).

It is a self number, because there is not a number n which added to its sum of digits gives 103233220313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233220313303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59661335 + ... + 61367265.

It is an arithmetic number, because the mean of its divisors is an integer number (1006909303680).

Almost surely, 2^{103233220313300} is an apocalyptic number.

103233220313300 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 103233220313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144994939729920).

103233220313300 is an abundant number, since it is smaller than the sum of its proper divisors (186756659146540).

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

103233220313300 is a wasteful number, since it uses less digits than its factorization.

103233220313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706263 (or 1706256 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 103233220313300 its reverse (3313022332301), we get a palindrome (106546242645601).

The spelling of 103233220313300 in words is "one hundred three trillion, two hundred thirty-three billion, two hundred twenty million, three hundred thirteen thousand, three hundred".