2103009087312 has 360 divisors, whose sum is σ = 7011263750400. Its totient is φ = 598569792768.

The previous prime is 2103009087299. The next prime is 2103009087313. The reversal of 2103009087312 is 2137809003012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103009087313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197664489 + ... + 197675127.

It is an arithmetic number, because the mean of its divisors is an integer number (19475732640).

Almost surely, 2^{2103009087312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103009087312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505631875200).

2103009087312 is an abundant number, since it is smaller than the sum of its proper divisors (4908254663088).

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

2103009087312 is an equidigital number, since it uses as much as digits as its factorization.

2103009087312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2103009087312 in words is "two trillion, one hundred three billion, nine million, eighty-seven thousand, three hundred twelve".