331013101320 has 192 divisors, whose sum is σ = 1176008595840. Its totient is φ = 80080358400.

The previous prime is 331013101313. The next prime is 331013101373. The reversal of 331013101320 is 23101310133.

It is a happy number.

331013101320 is a `hidden beast` number, since 3 + 31 + 0 + 1 + 310 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331013101293 and 331013101302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842700 + ... + 2014340.

It is an arithmetic number, because the mean of its divisors is an integer number (6125044770).

Almost surely, 2^331013101320 is an apocalyptic number.

331013101320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331013101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588004297920).

331013101320 is an abundant number, since it is smaller than the sum of its proper divisors (844995494520).

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

331013101320 is a wasteful number, since it uses less digits than its factorization.

331013101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172156 (or 172149 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331013101320 its reverse (23101310133), we get a palindrome (354114411453).

The spelling of 331013101320 in words is "three hundred thirty-one billion, thirteen million, one hundred one thousand, three hundred twenty".