201003414331 has 16 divisors (see below), whose sum is σ = 203805504000. Its totient is φ = 198222848928.

The previous prime is 201003414239. The next prime is 201003414371. The reversal of 201003414331 is 133414300102.

It is a cyclic number.

It is not a de Polignac number, because 201003414331 - 2²⁵ = 200969859899 is a prime.

It is a super-2 number, since 2×201003414331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201003414371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31907220 + ... + 31913518.

It is an arithmetic number, because the mean of its divisors is an integer number (12737844000).

Almost surely, 2^201003414331 is an apocalyptic number.

201003414331 is a deficient number, since it is larger than the sum of its proper divisors (2802089669).

201003414331 is a wasteful number, since it uses less digits than its factorization.

201003414331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 201003414331 its reverse (133414300102), we get a palindrome (334417714433).

The spelling of 201003414331 in words is "two hundred one billion, three million, four hundred fourteen thousand, three hundred thirty-one".