1300361216 has 312 divisors, whose sum is σ = 3585692160. Its totient is φ = 464486400.

The previous prime is 1300361203. The next prime is 1300361221. The reversal of 1300361216 is 6121630031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1300361191 and 1300361200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41947121 + ... + 41947151.

Almost surely, 2^1300361216 is an apocalyptic number.

1300361216 is a gapful number since it is divisible by the number (16) 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 1300361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792846080).

1300361216 is an abundant number, since it is smaller than the sum of its proper divisors (2285330944).

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

1300361216 is a wasteful number, since it uses less digits than its factorization.

1300361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1300361216 is about 36060.5215713805. The cubic root of 1300361216 is about 1091.4939579493.

Adding to 1300361216 its reverse (6121630031), we get a palindrome (7421991247).

The spelling of 1300361216 in words is "one billion, three hundred million, three hundred sixty-one thousand, two hundred sixteen".