1300103223120 has 480 divisors, whose sum is σ = 4762061041920. Its totient is φ = 317847628800.

The previous prime is 1300103223053. The next prime is 1300103223121. The reversal of 1300103223120 is 213223010031.

1300103223120 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 0 + 322 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1300103223093 and 1300103223102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300103223121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238855119 + ... + 238860561.

It is an arithmetic number, because the mean of its divisors is an integer number (9920960504).

Almost surely, 2^{1300103223120} is an apocalyptic number.

1300103223120 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 1300103223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381030520960).

1300103223120 is an abundant number, since it is smaller than the sum of its proper divisors (3461957818800).

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

1300103223120 is a wasteful number, since it uses less digits than its factorization.

1300103223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1300103223120 its reverse (213223010031), we get a palindrome (1513326233151).

The spelling of 1300103223120 in words is "one trillion, three hundred billion, one hundred three million, two hundred twenty-three thousand, one hundred twenty".