201331013447361 has 16 divisors (see below), whose sum is σ = 306804504167424. Its totient is φ = 115040897734224.

The previous prime is 201331013447359. The next prime is 201331013447363. The reversal of 201331013447361 is 163744310133102.

201331013447361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201331013447359) and next prime (201331013447363).

It is not a de Polignac number, because 201331013447361 - 2¹ = 201331013447359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201331013447363) 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, 224360901 + ... + 225256466.

It is an arithmetic number, because the mean of its divisors is an integer number (19175281510464).

Almost surely, 2^{201331013447361} is an apocalyptic number.

201331013447361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201331013447361 is a deficient number, since it is larger than the sum of its proper divisors (105473490720063).

201331013447361 is a wasteful number, since it uses less digits than its factorization.

201331013447361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449638700.

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 201331013447361 in words is "two hundred one trillion, three hundred thirty-one billion, thirteen million, four hundred forty-seven thousand, three hundred sixty-one".