331113010020 has 288 divisors, whose sum is σ = 1028866406400. Its totient is φ = 79491709440.

The previous prime is 331113009979. The next prime is 331113010031. The reversal of 331113010020 is 20010311133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157746931 + ... + 157749029.

It is an arithmetic number, because the mean of its divisors is an integer number (3572452800).

Almost surely, 2^331113010020 is an apocalyptic number.

331113010020 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 331113010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514433203200).

331113010020 is an abundant number, since it is smaller than the sum of its proper divisors (697753396380).

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

331113010020 is a wasteful number, since it uses less digits than its factorization.

331113010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 331113010020 its reverse (20010311133), we get a palindrome (351123321153).

The spelling of 331113010020 in words is "three hundred thirty-one billion, one hundred thirteen million, ten thousand, twenty".