1331313123030 has 128 divisors (see below), whose sum is σ = 3606430417920. Its totient is φ = 311560220160.

The previous prime is 1331313123017. The next prime is 1331313123061. The reversal of 1331313123030 is 303213131331.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98880079 + ... + 98893541.

It is an arithmetic number, because the mean of its divisors is an integer number (28175237640).

Almost surely, 2^{1331313123030} is an apocalyptic number.

1331313123030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331313123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803215208960).

1331313123030 is an abundant number, since it is smaller than the sum of its proper divisors (2275117294890).

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

1331313123030 is a wasteful number, since it uses less digits than its factorization.

1331313123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23846.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1331313123030 its reverse (303213131331), we get a palindrome (1634526254361).

The spelling of 1331313123030 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred twenty-three thousand, thirty".