1300103133320 has 128 divisors (see below), whose sum is σ = 3048803301600. Its totient is φ = 498532147200.

The previous prime is 1300103133257. The next prime is 1300103133337. The reversal of 1300103133320 is 233313010031.

It can be written as a sum of positive squares in 16 ways, for example, as 369175329604 + 930927803716 = 607598^2 + 964846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1300103133292 and 1300103133301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106936682 + ... + 106948838.

Almost surely, 2^{1300103133320} is an apocalyptic number.

1300103133320 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 1300103133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524401650800).

1300103133320 is an abundant number, since it is smaller than the sum of its proper divisors (1748700168280).

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

1300103133320 is a wasteful number, since it uses less digits than its factorization.

1300103133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339 (or 13335 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1300103133320 its reverse (233313010031), we get a palindrome (1533416143351).

The spelling of 1300103133320 in words is "one trillion, three hundred billion, one hundred three million, one hundred thirty-three thousand, three hundred twenty".