2001414044131 has 8 divisors (see below), whose sum is σ = 2081525385920. Its totient is φ = 1922672127168.

The previous prime is 2001414044099. The next prime is 2001414044153. The reversal of 2001414044131 is 1314404141002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001414044131 - 2⁵ = 2001414044099 is a prime.

It is a super-2 number, since 2×2001414044131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001414044096 and 2001414044105.

It is not an unprimeable number, because it can be changed into a prime (2001414044731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342353226 + ... + 342359071.

It is an arithmetic number, because the mean of its divisors is an integer number (260190673240).

Almost surely, 2^{2001414044131} is an apocalyptic number.

2001414044131 is a deficient number, since it is larger than the sum of its proper divisors (80111341789).

2001414044131 is an equidigital number, since it uses as much as digits as its factorization.

2001414044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684712413.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2001414044131 its reverse (1314404141002), we get a palindrome (3315818185133).

The spelling of 2001414044131 in words is "two trillion, one billion, four hundred fourteen million, forty-four thousand, one hundred thirty-one".