1331023013300 has 36 divisors (see below), whose sum is σ = 2888609203116. Its totient is φ = 532355884800.

The previous prime is 1331023013279. The next prime is 1331023013399. The reversal of 1331023013300 is 33103201331.

It can be written as a sum of positive squares in 6 ways, for example, as 11548081444 + 1319474931856 = 107462^2 + 1148684^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 344624 + ... + 1667576.

It is an arithmetic number, because the mean of its divisors is an integer number (80239144531).

Almost surely, 2^{1331023013300} is an apocalyptic number.

1331023013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331023013300 is an abundant number, since it is smaller than the sum of its proper divisors (1557586189816).

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

1331023013300 is a wasteful number, since it uses less digits than its factorization.

1331023013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333028 (or 1333021 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1331023013300 its reverse (33103201331), we get a palindrome (1364126214631).

The spelling of 1331023013300 in words is "one trillion, three hundred thirty-one billion, twenty-three million, thirteen thousand, three hundred".