103130322000 has 640 divisors, whose sum is σ = 359361999360. Its totient is φ = 25391923200.

The previous prime is 103130321969. The next prime is 103130322019. The reversal of 103130322000 is 223031301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534353904 + ... + 534354096.

It is an arithmetic number, because the mean of its divisors is an integer number (561503124).

Almost surely, 2^103130322000 is an apocalyptic number.

103130322000 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 103130322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179680999680).

103130322000 is an abundant number, since it is smaller than the sum of its proper divisors (256231677360).

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

103130322000 is a wasteful number, since it uses less digits than its factorization.

103130322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103130322000 its reverse (223031301), we get a palindrome (103353353301).

The spelling of 103130322000 in words is "one hundred three billion, one hundred thirty million, three hundred twenty-two thousand".