103312210000 has 200 divisors, whose sum is σ = 265095923400. Its totient is φ = 38922240000.

The previous prime is 103312209989. The next prime is 103312210009. The reversal of 103312210000 is 12213301.

It can be written as a sum of positive squares in 20 ways, for example, as 102804879424 + 507330576 = 320632^2 + 22524^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11885656 + ... + 11894344.

It is an arithmetic number, because the mean of its divisors is an integer number (1325479617).

Almost surely, 2^103312210000 is an apocalyptic number.

103312210000 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 103312210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132547961700).

103312210000 is an abundant number, since it is smaller than the sum of its proper divisors (161783713400).

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

103312210000 is an equidigital number, since it uses as much as digits as its factorization.

103312210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103312210000 its reverse (12213301), we get a palindrome (103324423301).

The spelling of 103312210000 in words is "one hundred three billion, three hundred twelve million, two hundred ten thousand".