1013812372000 has 192 divisors, whose sum is σ = 2576175114240. Its totient is φ = 391867008000.

The previous prime is 1013812371991. The next prime is 1013812372031. The reversal of 1013812372000 is 2732183101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013812372000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14817870 + ... + 14886130.

It is an arithmetic number, because the mean of its divisors is an integer number (13417578720).

Almost surely, 2^{1013812372000} is an apocalyptic number.

1013812372000 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 1013812372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288087557120).

1013812372000 is an abundant number, since it is smaller than the sum of its proper divisors (1562362742240).

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

1013812372000 is an equidigital number, since it uses as much as digits as its factorization.

1013812372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68412 (or 68394 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 1013812372000 in words is "one trillion, thirteen billion, eight hundred twelve million, three hundred seventy-two thousand".