2001413130 has 32 divisors (see below), whose sum is σ = 4805103168. Its totient is φ = 533520000.

The previous prime is 2001413129. The next prime is 2001413131. The reversal of 2001413130 is 313141002.

It is an interprime number because it is at equal distance from previous prime (2001413129) and next prime (2001413131).

It is a super-3 number, since 3×2001413130³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2001413131) 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, 87270 + ... + 107790.

It is an arithmetic number, because the mean of its divisors is an integer number (150159474).

Almost surely, 2^2001413130 is an apocalyptic number.

2001413130 is an abundant number, since it is smaller than the sum of its proper divisors (2803690038).

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

2001413130 is a wasteful number, since it uses less digits than its factorization.

2001413130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23782.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2001413130 is about 44737.1560338831. The cubic root of 2001413130 is about 1260.2177187394.

Adding to 2001413130 its reverse (313141002), we get a palindrome (2314554132).

The spelling of 2001413130 in words is "two billion, one million, four hundred thirteen thousand, one hundred thirty".