103222133000 has 256 divisors, whose sum is σ = 283757160960. Its totient is φ = 34407936000.

The previous prime is 103222132973. The next prime is 103222133039. The reversal of 103222133000 is 331222301.

It is a self number, because there is not a number n which added to its sum of digits gives 103222133000.

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, 131158607 + ... + 131159393.

It is an arithmetic number, because the mean of its divisors is an integer number (1108426410).

Almost surely, 2^103222133000 is an apocalyptic number.

103222133000 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 103222133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141878580480).

103222133000 is an abundant number, since it is smaller than the sum of its proper divisors (180535027960).

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

103222133000 is a wasteful number, since it uses less digits than its factorization.

103222133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103222133000 its reverse (331222301), we get a palindrome (103553355301).

The spelling of 103222133000 in words is "one hundred three billion, two hundred twenty-two million, one hundred thirty-three thousand".