1301312400 has 120 divisors (see below), whose sum is σ = 4349870400. Its totient is φ = 331921920.

The previous prime is 1301312399. The next prime is 1301312417. The reversal of 1301312400 is 42131031.

It is a tau number, because it is divible by the number of its divisors (120).

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 1301312400.

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 23 ways as a sum of consecutive naturals, for example, 4026 + ... + 51174.

It is an arithmetic number, because the mean of its divisors is an integer number (36248920).

Almost surely, 2^1301312400 is an apocalyptic number.

1301312400 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 1301312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174935200).

1301312400 is an abundant number, since it is smaller than the sum of its proper divisors (3048558000).

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

1301312400 is a wasteful number, since it uses less digits than its factorization.

1301312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47193 (or 47182 counting only the distinct ones).

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

The square root of 1301312400 is about 36073.7078770675. The cubic root of 1301312400 is about 1091.7600272375.

Adding to 1301312400 its reverse (42131031), we get a palindrome (1343443431).

The spelling of 1301312400 in words is "one billion, three hundred one million, three hundred twelve thousand, four hundred".