201331412304399 has 32 divisors (see below), whose sum is σ = 321226752244160. Its totient is φ = 123890760157824.

The previous prime is 201331412304313. The next prime is 201331412304509. The reversal of 201331412304399 is 993403214133102.

201331412304399 is a `hidden beast` number, since 2 + 0 + 1 + 331 + 4 + 1 + 2 + 304 + 3 + 9 + 9 = 666.

It is not a de Polignac number, because 201331412304399 - 2¹⁷ = 201331412173327 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331412304199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4782184 + ... + 20628429.

It is an arithmetic number, because the mean of its divisors is an integer number (10038336007630).

Almost surely, 2^{201331412304399} is an apocalyptic number.

201331412304399 is a deficient number, since it is larger than the sum of its proper divisors (119895339939761).

201331412304399 is a wasteful number, since it uses less digits than its factorization.

201331412304399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25433208 (or 25433202 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 201331412304399 in words is "two hundred one trillion, three hundred thirty-one billion, four hundred twelve million, three hundred four thousand, three hundred ninety-nine".