331331042130 has 128 divisors (see below), whose sum is σ = 889382301696. Its totient is φ = 78298406400.

The previous prime is 331331042113. The next prime is 331331042131. The reversal of 331331042130 is 31240133133.

It is a happy number.

It is a super-3 number, since 3×331331042130³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331331042130.

It is not an unprimeable number, because it can be changed into a prime (331331042131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17349447 + ... + 17368533.

It is an arithmetic number, because the mean of its divisors is an integer number (6948299232).

Almost surely, 2^331331042130 is an apocalyptic number.

331331042130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331331042130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444691150848).

331331042130 is an abundant number, since it is smaller than the sum of its proper divisors (558051259566).

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

331331042130 is a wasteful number, since it uses less digits than its factorization.

331331042130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20432.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331331042130 its reverse (31240133133), we get a palindrome (362571175263).

The spelling of 331331042130 in words is "three hundred thirty-one billion, three hundred thirty-one million, forty-two thousand, one hundred thirty".