331420771131138 has 24 divisors (see below), whose sum is σ = 773315132639868. Its totient is φ = 101975621886432.

The previous prime is 331420771131137. The next prime is 331420771131187. The reversal of 331420771131138 is 831131177024133.

331420771131138 is a `hidden beast` number, since 3 + 3 + 1 + 420 + 77 + 113 + 11 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 329336365731129 + 2084405400009 = 18147627^2 + 1443747^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331420771131093 and 331420771131102.

It is not an unprimeable number, because it can be changed into a prime (331420771131137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708164040645 + ... + 708164041112.

Almost surely, 2^{331420771131138} is an apocalyptic number.

331420771131138 is an abundant number, since it is smaller than the sum of its proper divisors (441894361508730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331420771131138 is a wasteful number, since it uses less digits than its factorization.

331420771131138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416328081778 (or 1416328081775 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 331420771131138 in words is "three hundred thirty-one trillion, four hundred twenty billion, seven hundred seventy-one million, one hundred thirty-one thousand, one hundred thirty-eight".