2001413134221 has 16 divisors (see below), whose sum is σ = 2710974383040. Its totient is φ = 1313142952320.

The previous prime is 2001413134219. The next prime is 2001413134249. The reversal of 2001413134221 is 1224313141002.

It is not a de Polignac number, because 2001413134221 - 2¹ = 2001413134219 is a prime.

It is a super-2 number, since 2×2001413134221² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001413134191 and 2001413134200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001413534221) 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, 9811051 + ... + 10012968.

It is an arithmetic number, because the mean of its divisors is an integer number (169435898940).

Almost surely, 2^{2001413134221} is an apocalyptic number.

It is an amenable number.

2001413134221 is a deficient number, since it is larger than the sum of its proper divisors (709561248819).

2001413134221 is a wasteful number, since it uses less digits than its factorization.

2001413134221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19824556.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2001413134221 its reverse (1224313141002), we get a palindrome (3225726275223).

The spelling of 2001413134221 in words is "two trillion, one billion, four hundred thirteen million, one hundred thirty-four thousand, two hundred twenty-one".