1301306000 has 80 divisors (see below), whose sum is σ = 3165587568. Its totient is φ = 517376000.

The previous prime is 1301305981. The next prime is 1301306047. The reversal of 1301306000 is 6031031.

It can be written as a sum of positive squares in 8 ways, for example, as 190550416 + 1110755584 = 13804^2 + 33328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344120 + ... + 347880.

Almost surely, 2^1301306000 is an apocalyptic number.

1301306000 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 1301306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582793784).

1301306000 is an abundant number, since it is smaller than the sum of its proper divisors (1864281568).

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

1301306000 is a wasteful number, since it uses less digits than its factorization.

1301306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1301306000 is about 36073.6191696924. The cubic root of 1301306000 is about 1091.7582374352.

Adding to 1301306000 its reverse (6031031), we get a palindrome (1307337031).

The spelling of 1301306000 in words is "one billion, three hundred one million, three hundred six thousand".