331131132001120 has 192 divisors, whose sum is σ = 856553744148480. Its totient is φ = 119969285990400.

The previous prime is 331131132001091. The next prime is 331131132001127. The reversal of 331131132001120 is 21100231131133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331131132001091 and 331131132001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131132001127) 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, 538328301 + ... + 538943059.

It is an arithmetic number, because the mean of its divisors is an integer number (4461217417440).

Almost surely, 2^{331131132001120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331131132001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428276872074240).

331131132001120 is an abundant number, since it is smaller than the sum of its proper divisors (525422612147360).

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

331131132001120 is a wasteful number, since it uses less digits than its factorization.

331131132001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615909 (or 615901 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 331131132001120 its reverse (21100231131133), we get a palindrome (352231363132253).

The spelling of 331131132001120 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-two million, one thousand, one hundred twenty".