1300310144 has 128 divisors (see below), whose sum is σ = 3300393600. Its totient is φ = 496779264.

The previous prime is 1300310047. The next prime is 1300310147. The reversal of 1300310144 is 4410130031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1300310147) 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, 287162 + ... + 291654.

It is an arithmetic number, because the mean of its divisors is an integer number (25784325).

Almost surely, 2^1300310144 is an apocalyptic number.

1300310144 is a gapful number since it is divisible by the number (14) 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 1300310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650196800).

1300310144 is an abundant number, since it is smaller than the sum of its proper divisors (2000083456).

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

1300310144 is a wasteful number, since it uses less digits than its factorization.

1300310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1300310144 is about 36059.8134215916. The cubic root of 1300310144 is about 1091.4796681995.

Adding to 1300310144 its reverse (4410130031), we get a palindrome (5710440175).

The spelling of 1300310144 in words is "one billion, three hundred million, three hundred ten thousand, one hundred forty-four".