1300020333120 has 84 divisors (see below), whose sum is σ = 4471528280700. Its totient is φ = 346672088064.

The previous prime is 1300020333119. The next prime is 1300020333187. The reversal of 1300020333120 is 213330200031.

1300020333120 is a `hidden beast` number, since 1 + 300 + 0 + 20 + 33 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215689651776 + 1084330681344 = 464424^2 + 1041312^2 .

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 = 1300020333093 and 1300020333102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225695095 + ... + 225700854.

Almost surely, 2^{1300020333120} is an apocalyptic number.

1300020333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300020333120 is an abundant number, since it is smaller than the sum of its proper divisors (3171507947580).

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

1300020333120 is a wasteful number, since it uses less digits than its factorization.

1300020333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451395972 (or 451395959 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1300020333120 its reverse (213330200031), we get a palindrome (1513350533151).

The spelling of 1300020333120 in words is "one trillion, three hundred billion, twenty million, three hundred thirty-three thousand, one hundred twenty".