1301363136 has 126 divisors (see below), whose sum is σ = 3855969936. Its totient is φ = 419616000.

The previous prime is 1301363123. The next prime is 1301363159. The reversal of 1301363136 is 6313631031.

1301363136 is a `hidden beast` number, since 13 + 0 + 13 + 631 + 3 + 6 = 666.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 552361 + ... + 554711.

It is an arithmetic number, because the mean of its divisors is an integer number (30602936).

Almost surely, 2^1301363136 is an apocalyptic number.

1301363136 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 1301363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927984968).

1301363136 is an abundant number, since it is smaller than the sum of its proper divisors (2554606800).

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

1301363136 is a wasteful number, since it uses less digits than its factorization.

1301363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1301363136 is about 36074.4110970644. The cubic root of 1301363136 is about 1091.7742156872.

Adding to 1301363136 its reverse (6313631031), we get a palindrome (7614994167).

The spelling of 1301363136 in words is "one billion, three hundred one million, three hundred sixty-three thousand, one hundred thirty-six".