103033322131200 has 432 divisors, whose sum is σ = 340944388162560. Its totient is φ = 27401882664960.

The previous prime is 103033322131177. The next prime is 103033322131241. The reversal of 103033322131200 is 2131223330301.

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 47 ways as a sum of consecutive naturals, for example, 12784872771 + ... + 12784880829.

Almost surely, 2^{103033322131200} is an apocalyptic number.

103033322131200 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 103033322131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170472194081280).

103033322131200 is an abundant number, since it is smaller than the sum of its proper divisors (237911066031360).

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

103033322131200 is a wasteful number, since it uses less digits than its factorization.

103033322131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9773 counting only the distinct ones).

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

Adding to 103033322131200 its reverse (2131223330301), we get a palindrome (105164545461501).

The spelling of 103033322131200 in words is "one hundred three trillion, thirty-three billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred".