131605416363221 has 32 divisors (see below), whose sum is σ = 137879441796096. Its totient is φ = 125496274176000.

The previous prime is 131605416363217. The next prime is 131605416363269. The reversal of 131605416363221 is 122363614506131.

It is a happy number.

It is not a de Polignac number, because 131605416363221 - 2² = 131605416363217 is a prime.

It is a super-2 number, since 2×131605416363221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131605416363121) 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, 901389536 + ... + 901535526.

It is an arithmetic number, because the mean of its divisors is an integer number (4308732556128).

Almost surely, 2^{131605416363221} is an apocalyptic number.

It is an amenable number.

131605416363221 is a deficient number, since it is larger than the sum of its proper divisors (6274025432875).

131605416363221 is a wasteful number, since it uses less digits than its factorization.

131605416363221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147653.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 131605416363221 in words is "one hundred thirty-one trillion, six hundred five billion, four hundred sixteen million, three hundred sixty-three thousand, two hundred twenty-one".