1301002000 has 80 divisors (see below), whose sum is σ = 3181604400. Its totient is φ = 514483200.

The previous prime is 1301001983. The next prime is 1301002007. The reversal of 1301002000 is 2001031.

It can be written as a sum of positive squares in 8 ways, for example, as 670188544 + 630813456 = 25888^2 + 25116^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1301002007) 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, 174346 + ... + 181654.

It is an arithmetic number, because the mean of its divisors is an integer number (39770055).

Almost surely, 2^1301002000 is an apocalyptic number.

1301002000 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 1301002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590802200).

1301002000 is an abundant number, since it is smaller than the sum of its proper divisors (1880602400).

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

1301002000 is an equidigital number, since it uses as much as digits as its factorization.

1301002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1301002000 is about 36069.4053180809. The cubic root of 1301002000 is about 1091.6732150673.

Adding to 1301002000 its reverse (2001031), we get a palindrome (1303003031).

The spelling of 1301002000 in words is "one billion, three hundred one million, two thousand".