1013019027200 has 108 divisors (see below), whose sum is σ = 2508041532360. Its totient is φ = 405100769280.

The previous prime is 1013019027151. The next prime is 1013019027227. The reversal of 1013019027200 is 27209103101.

1013019027200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1013019027200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26982842 + ... + 27020358.

Almost surely, 2^{1013019027200} is an apocalyptic number.

1013019027200 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 1013019027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254020766180).

1013019027200 is an abundant number, since it is smaller than the sum of its proper divisors (1495022505160).

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

1013019027200 is an equidigital number, since it uses as much as digits as its factorization.

1013019027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41762 (or 41743 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 1013019027200 in words is "one trillion, thirteen billion, nineteen million, twenty-seven thousand, two hundred".