103128133080 has 256 divisors, whose sum is σ = 375663744000. Its totient is φ = 22144002048.

The previous prime is 103128133021. The next prime is 103128133091. The reversal of 103128133080 is 80331821301.

103128133080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844111 + ... + 958529.

It is an arithmetic number, because the mean of its divisors is an integer number (1467436500).

Almost surely, 2^103128133080 is an apocalyptic number.

103128133080 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 103128133080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187831872000).

103128133080 is an abundant number, since it is smaller than the sum of its proper divisors (272535610920).

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

103128133080 is a wasteful number, since it uses less digits than its factorization.

103128133080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114506 (or 114502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 103128133080 its reverse (80331821301), we get a palindrome (183459954381).

The spelling of 103128133080 in words is "one hundred three billion, one hundred twenty-eight million, one hundred thirty-three thousand, eighty".