103031133223200 has 576 divisors, whose sum is σ = 413599649928192. Its totient is φ = 21694140518400.

The previous prime is 103031133223153. The next prime is 103031133223201. The reversal of 103031133223200 is 2322331130301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103031133223201) 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, 106753999 + ... + 107714801.

It is an arithmetic number, because the mean of its divisors is an integer number (718054947792).

Almost surely, 2^{103031133223200} is an apocalyptic number.

103031133223200 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 103031133223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206799824964096).

103031133223200 is an abundant number, since it is smaller than the sum of its proper divisors (310568516704992).

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

103031133223200 is a wasteful number, since it uses less digits than its factorization.

103031133223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961337 (or 961324 counting only the distinct ones).

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

Adding to 103031133223200 its reverse (2322331130301), we get a palindrome (105353464353501).

The spelling of 103031133223200 in words is "one hundred three trillion, thirty-one billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred".