103312111202300 has 1728 divisors, whose sum is σ = 334300703385600. Its totient is φ = 27130650624000.

The previous prime is 103312111202273. The next prime is 103312111202329. The reversal of 103312111202300 is 3202111213301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 97189191569 + ... + 97189192631.

It is an arithmetic number, because the mean of its divisors is an integer number (193461055200).

Almost surely, 2^{103312111202300} is an apocalyptic number.

103312111202300 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 103312111202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167150351692800).

103312111202300 is an abundant number, since it is smaller than the sum of its proper divisors (230988592183300).

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

103312111202300 is a wasteful number, since it uses less digits than its factorization.

103312111202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103312111202300 its reverse (3202111213301), we get a palindrome (106514222415601).

It can be divided in two parts, 10331211 and 1202300, that added together give a palindrome (11533511).

The spelling of 103312111202300 in words is "one hundred three trillion, three hundred twelve billion, one hundred eleven million, two hundred two thousand, three hundred".