1300001300 has 72 divisors (see below), whose sum is σ = 3068392152. Its totient is φ = 475200000.

The previous prime is 1300001293. The next prime is 1300001321. The reversal of 1300001300 is 31000031.

It can be written as a sum of positive squares in 12 ways, for example, as 27081616 + 1272919684 = 5204^2 + 35678^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126350 + ... + 136250.

Almost surely, 2^1300001300 is an apocalyptic number.

1300001300 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 1300001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534196076).

1300001300 is an abundant number, since it is smaller than the sum of its proper divisors (1768390852).

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

1300001300 is a wasteful number, since it uses less digits than its factorization.

1300001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1300001300 is about 36055.5307823918. The cubic root of 1300001300 is about 1091.3932468586.

Adding to 1300001300 its reverse (31000031), we get a palindrome (1331001331).

It can be divided in two parts, 130000 and 1300, that multiplied together give a square (169000000 = 13000²).

The spelling of 1300001300 in words is "one billion, three hundred million, one thousand, three hundred".