103233131000 has 256 divisors, whose sum is σ = 264205393920. Its totient is φ = 37635840000.

The previous prime is 103233130991. The next prime is 103233131011. The reversal of 103233131000 is 131332301.

It is a super-2 number, since 2×103233131000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103233131000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47769920 + ... + 47772080.

It is an arithmetic number, because the mean of its divisors is an integer number (1032052320).

Almost surely, 2^103233131000 is an apocalyptic number.

103233131000 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 103233131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132102696960).

103233131000 is an abundant number, since it is smaller than the sum of its proper divisors (160972262920).

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

103233131000 is a wasteful number, since it uses less digits than its factorization.

103233131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 103233131000 its reverse (131332301), we get a palindrome (103364463301).

The spelling of 103233131000 in words is "one hundred three billion, two hundred thirty-three million, one hundred thirty-one thousand".