103311001200 has 240 divisors, whose sum is σ = 364604199552. Its totient is φ = 24796800000.

The previous prime is 103311001181. The next prime is 103311001219. The reversal of 103311001200 is 2100113301.

It is an interprime number because it is at equal distance from previous prime (103311001181) and next prime (103311001219).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294455 + ... + 1371945.

Almost surely, 2^103311001200 is an apocalyptic number.

103311001200 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 103311001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182302099776).

103311001200 is an abundant number, since it is smaller than the sum of its proper divisors (261293198352).

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

103311001200 is a wasteful number, since it uses less digits than its factorization.

103311001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77624 (or 77613 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103311001200 its reverse (2100113301), we get a palindrome (105411114501).

The spelling of 103311001200 in words is "one hundred three billion, three hundred eleven million, one thousand, two hundred".