103200122131320 has 256 divisors, whose sum is σ = 326022311577600. Its totient is φ = 26097201428480.

The previous prime is 103200122131303. The next prime is 103200122131357. The reversal of 103200122131320 is 23131221002301.

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, 64187974 + ... + 65776106.

It is an arithmetic number, because the mean of its divisors is an integer number (1273524654600).

Almost surely, 2^{103200122131320} is an apocalyptic number.

103200122131320 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 103200122131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163011155788800).

103200122131320 is an abundant number, since it is smaller than the sum of its proper divisors (222822189446280).

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

103200122131320 is a wasteful number, since it uses less digits than its factorization.

103200122131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588510 (or 1588506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103200122131320 its reverse (23131221002301), we get a palindrome (126331343133621).

The spelling of 103200122131320 in words is "one hundred three trillion, two hundred billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty".