1331032123200 has 336 divisors, whose sum is σ = 4713382699200. Its totient is φ = 326902087680.

The previous prime is 1331032123177. The next prime is 1331032123249. The reversal of 1331032123200 is 23212301331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27993847 + ... + 28041353.

It is an arithmetic number, because the mean of its divisors is an integer number (14027924700).

Almost surely, 2^{1331032123200} is an apocalyptic number.

1331032123200 is a gapful number since it is divisible by the number (10) 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 1331032123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356691349600).

1331032123200 is an abundant number, since it is smaller than the sum of its proper divisors (3382350576000).

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

1331032123200 is a wasteful number, since it uses less digits than its factorization.

1331032123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47994 (or 47979 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1331032123200 its reverse (23212301331), we get a palindrome (1354244424531).

The spelling of 1331032123200 in words is "one trillion, three hundred thirty-one billion, thirty-two million, one hundred twenty-three thousand, two hundred".