1372820133300 has 288 divisors, whose sum is σ = 4954236908544. Its totient is φ = 285140352000.

The previous prime is 1372820133257. The next prime is 1372820133331. The reversal of 1372820133300 is 33310282731.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 60811015 + ... + 60833585.

It is an arithmetic number, because the mean of its divisors is an integer number (17202211488).

Almost surely, 2^{1372820133300} is an apocalyptic number.

1372820133300 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 1372820133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477118454272).

1372820133300 is an abundant number, since it is smaller than the sum of its proper divisors (3581416775244).

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

1372820133300 is a wasteful number, since it uses less digits than its factorization.

1372820133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25239 (or 25232 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 1372820133300 in words is "one trillion, three hundred seventy-two billion, eight hundred twenty million, one hundred thirty-three thousand, three hundred".