2001301000 has 64 divisors (see below), whose sum is σ = 4692757680. Its totient is φ = 798860800.

The previous prime is 2001300997. The next prime is 2001301009. The reversal of 2001301000 is 1031002.

It can be written as a sum of positive squares in 8 ways, for example, as 48191364 + 1953109636 = 6942^2 + 44194^2 .

It is not an unprimeable number, because it can be changed into a prime (2001301009) 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, 555204 + ... + 558796.

Almost surely, 2^2001301000 is an apocalyptic number.

2001301000 is a gapful number since it is divisible by the number (20) 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 2001301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346378840).

2001301000 is an abundant number, since it is smaller than the sum of its proper divisors (2691456680).

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

2001301000 is a wasteful number, since it uses less digits than its factorization.

2001301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4157 counting only the distinct ones).

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

The square root of 2001301000 is about 44735.9028074767. The cubic root of 2001301000 is about 1260.1941835599.

Adding to 2001301000 its reverse (1031002), we get a palindrome (2002332002).

The spelling of 2001301000 in words is "two billion, one million, three hundred one thousand".