331211011010985 has 192 divisors, whose sum is σ = 696555056171520. Its totient is φ = 142125637754880.

The previous prime is 331211011010963. The next prime is 331211011010987. The reversal of 331211011010985 is 589010110112133.

331211011010985 is a `hidden beast` number, since 331 + 2 + 110 + 110 + 10 + 98 + 5 = 666.

It is not a de Polignac number, because 331211011010985 - 2⁵ = 331211011010953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331211011010987) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6217679931 + ... + 6217733199.

It is an arithmetic number, because the mean of its divisors is an integer number (3627890917560).

Almost surely, 2^{331211011010985} is an apocalyptic number.

331211011010985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331211011010985 is an abundant number, since it is smaller than the sum of its proper divisors (365344045160535).

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

331211011010985 is a wasteful number, since it uses less digits than its factorization.

331211011010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56368 (or 56365 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 331211011010985 in words is "three hundred thirty-one trillion, two hundred eleven billion, eleven million, ten thousand, nine hundred eighty-five".