1300312000 has 112 divisors (see below), whose sum is σ = 3468209472. Its totient is φ = 480076800.

The previous prime is 1300311973. The next prime is 1300312003. The reversal of 1300312000 is 2130031.

It is a super-2 number, since 2×1300312000² = 3381622594688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300312003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97749 + ... + 110251.

It is an arithmetic number, because the mean of its divisors is an integer number (30966156).

Almost surely, 2^1300312000 is an apocalyptic number.

1300312000 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 1300312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734104736).

1300312000 is an abundant number, since it is smaller than the sum of its proper divisors (2167897472).

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

1300312000 is a wasteful number, since it uses less digits than its factorization.

1300312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1300312000 is about 36059.8391566019. The cubic root of 1300312000 is about 1091.4801875078.

Adding to 1300312000 its reverse (2130031), we get a palindrome (1302442031).

The spelling of 1300312000 in words is "one billion, three hundred million, three hundred twelve thousand".