13103122321300 has 144 divisors (see below), whose sum is σ = 31781457981504. Its totient is φ = 4647644800000.

The previous prime is 13103122321297. The next prime is 13103122321321. The reversal of 13103122321300 is 312322130131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254834394 + ... + 254885806.

It is an arithmetic number, because the mean of its divisors is an integer number (220704569316).

Almost surely, 2^{13103122321300} is an apocalyptic number.

13103122321300 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 13103122321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890728990752).

13103122321300 is an abundant number, since it is smaller than the sum of its proper divisors (18678335660204).

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

13103122321300 is a wasteful number, since it uses less digits than its factorization.

13103122321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57130 (or 57123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13103122321300 its reverse (312322130131), we get a palindrome (13415444451431).

The spelling of 13103122321300 in words is "thirteen trillion, one hundred three billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred".