2001413300 has 18 divisors (see below), whose sum is σ = 4343067078. Its totient is φ = 800565280.

The previous prime is 2001413263. The next prime is 2001413303. The reversal of 2001413300 is 33141002.

It can be written as a sum of positive squares in 3 ways, for example, as 194993296 + 1806420004 = 13964^2 + 42502^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001413303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10006967 + ... + 10007166.

Almost surely, 2^2001413300 is an apocalyptic number.

2001413300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001413300 is an abundant number, since it is smaller than the sum of its proper divisors (2341653778).

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

2001413300 is a wasteful number, since it uses less digits than its factorization.

2001413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20014147 (or 20014140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2001413300 is about 44737.1579338697. The cubic root of 2001413300 is about 1260.2177544204.

Adding to 2001413300 its reverse (33141002), we get a palindrome (2034554302).

The spelling of 2001413300 in words is "two billion, one million, four hundred thirteen thousand, three hundred".