201304040411331 has 192 divisors, whose sum is σ = 363530832537600. Its totient is φ = 105458325995520.

The previous prime is 201304040411291. The next prime is 201304040411371. The reversal of 201304040411331 is 133114040403102.

201304040411331 is a `hidden beast` number, since 20 + 1 + 304 + 0 + 4 + 0 + 4 + 1 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (201304040411291) and next prime (201304040411371).

It is not a de Polignac number, because 201304040411331 - 2⁷ = 201304040411203 is a prime.

It is a super-2 number, since 2×201304040411331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201304040411295 and 201304040411304.

It is not an unprimeable number, because it can be changed into a prime (201304040411371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3476784820 + ... + 3476842718.

It is an arithmetic number, because the mean of its divisors is an integer number (1893389752800).

Almost surely, 2^{201304040411331} is an apocalyptic number.

201304040411331 is a deficient number, since it is larger than the sum of its proper divisors (162226792126269).

201304040411331 is a wasteful number, since it uses less digits than its factorization.

201304040411331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58746 (or 58743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201304040411331 its reverse (133114040403102), we get a palindrome (334418080814433).

The spelling of 201304040411331 in words is "two hundred one trillion, three hundred four billion, forty million, four hundred eleven thousand, three hundred thirty-one".