1013847610000 has 75 divisors (see below), whose sum is σ = 2454870253341. Its totient is φ = 405498768000.

The previous prime is 1013847609979. The next prime is 1013847610007. The reversal of 1013847610000 is 167483101.

The square root of 1013847610000 is 1006900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 954786945424 + 59060664576 = 977132^2 + 243024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013847610007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 100684966 + ... + 100695034.

Almost surely, 2^{1013847610000} is an apocalyptic number.

1013847610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013847610000 is the 1006900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013847610000

1013847610000 is an abundant number, since it is smaller than the sum of its proper divisors (1441022643341).

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

1013847610000 is an frugal number, since it uses more digits than its factorization.

1013847610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20166 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 1013847610000 in words is "one trillion, thirteen billion, eight hundred forty-seven million, six hundred ten thousand".