1300413120 has 112 divisors (see below), whose sum is σ = 4141183488. Its totient is φ = 345738240.

The previous prime is 1300413119. The next prime is 1300413133. The reversal of 1300413120 is 213140031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300413120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350475 + ... + 354165.

Almost surely, 2^1300413120 is an apocalyptic number.

1300413120 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 1300413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070591744).

1300413120 is an abundant number, since it is smaller than the sum of its proper divisors (2840770368).

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

1300413120 is a wasteful number, since it uses less digits than its factorization.

1300413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1300413120 is about 36061.2412431963. The cubic root of 1300413120 is about 1091.5084801062.

Adding to 1300413120 its reverse (213140031), we get a palindrome (1513553151).

The spelling of 1300413120 in words is "one billion, three hundred million, four hundred thirteen thousand, one hundred twenty".