1301316384 has 96 divisors (see below), whose sum is σ = 3683655360. Its totient is φ = 400896000.

The previous prime is 1301316349. The next prime is 1301316389. The reversal of 1301316384 is 4836131031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1301316384³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1301316389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66084 + ... + 83484.

It is an arithmetic number, because the mean of its divisors is an integer number (38371410).

Almost surely, 2^1301316384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301316384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841827680).

1301316384 is an abundant number, since it is smaller than the sum of its proper divisors (2382338976).

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

1301316384 is a wasteful number, since it uses less digits than its factorization.

1301316384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17474 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1301316384 is about 36073.7630972983. The cubic root of 1301316384 is about 1091.7611413864.

The spelling of 1301316384 in words is "one billion, three hundred one million, three hundred sixteen thousand, three hundred eighty-four".