103233313211000 has 256 divisors, whose sum is σ = 278178001920000. Its totient is φ = 35125724659200.

The previous prime is 103233313210987. The next prime is 103233313211011. The reversal of 103233313211000 is 112313332301.

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, 490083701 + ... + 490294299.

It is an arithmetic number, because the mean of its divisors is an integer number (1086632820000).

Almost surely, 2^{103233313211000} is an apocalyptic number.

103233313211000 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 103233313211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139089000960000).

103233313211000 is an abundant number, since it is smaller than the sum of its proper divisors (174944688709000).

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

103233313211000 is a wasteful number, since it uses less digits than its factorization.

103233313211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211159 (or 211145 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103233313211000 its reverse (112313332301), we get a palindrome (103345626543301).

The spelling of 103233313211000 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred thirteen million, two hundred eleven thousand".