1331306662200 has 768 divisors, whose sum is σ = 4670341079040. Its totient is φ = 312090624000.

The previous prime is 1331306662199. The next prime is 1331306662237. The reversal of 1331306662200 is 22666031331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1335312102 + ... + 1335313098.

It is an arithmetic number, because the mean of its divisors is an integer number (6081173280).

Almost surely, 2^{1331306662200} is an apocalyptic number.

1331306662200 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 1331306662200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335170539520).

1331306662200 is an abundant number, since it is smaller than the sum of its proper divisors (3339034416840).

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

1331306662200 is a wasteful number, since it uses less digits than its factorization.

1331306662200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 1331306662200 in words is "one trillion, three hundred thirty-one billion, three hundred six million, six hundred sixty-two thousand, two hundred".