331371771201 has 45 divisors (see below), whose sum is σ = 499297686481. Its totient is φ = 219018326328.

The previous prime is 331371771169. The next prime is 331371771209. The reversal of 331371771201 is 102177173133.

The square root of 331371771201 is 575649.

It is a perfect power (a square), and thus also a powerful number.

331371771201 is a `hidden beast` number, since 3 + 313 + 71 + 7 + 71 + 201 = 666.

It is not a de Polignac number, because 331371771201 - 2⁵ = 331371771169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331371771209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 865200256 + ... + 865200638.

Almost surely, 2^331371771201 is an apocalyptic number.

331371771201 is the 575649-th square number.

331371771201 is the 287825-th centered octagonal number.

It is an amenable number.

331371771201 is a deficient number, since it is larger than the sum of its proper divisors (167925915280).

331371771201 is an frugal number, since it uses more digits than its factorization.

331371771201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

Multiplying 331371771201 by its sum of digits (36), we get a square (11929383763236 = 3453894²).

The spelling of 331371771201 in words is "three hundred thirty-one billion, three hundred seventy-one million, seven hundred seventy-one thousand, two hundred one".