103133221000 has 128 divisors (see below), whose sum is σ = 249399596160. Its totient is φ = 39893280000.

The previous prime is 103133220991. The next prime is 103133221019. The reversal of 103133221000 is 122331301.

It is a super-2 number, since 2×103133221000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331127 + ... + 4354873.

It is an arithmetic number, because the mean of its divisors is an integer number (1948434345).

Almost surely, 2^103133221000 is an apocalyptic number.

103133221000 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 103133221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124699798080).

103133221000 is an abundant number, since it is smaller than the sum of its proper divisors (146266375160).

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

103133221000 is a wasteful number, since it uses less digits than its factorization.

103133221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23912 (or 23898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103133221000 its reverse (122331301), we get a palindrome (103255552301).

The spelling of 103133221000 in words is "one hundred three billion, one hundred thirty-three million, two hundred twenty-one thousand".