1013505292900 has 27 divisors (see below), whose sum is σ = 2199328331851. Its totient is φ = 405398090240.

The previous prime is 1013505292897. The next prime is 1013505292901. The reversal of 1013505292900 is 92925053101.

The square root of 1013505292900 is 1006730.

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

It can be written as a sum of positive squares in 4 ways, for example, as 96829258276 + 916676034624 = 311174^2 + 957432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013505292900.

It is not an unprimeable number, because it can be changed into a prime (1013505292901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10016964 + ... + 10117636.

Almost surely, 2^{1013505292900} is an apocalyptic number.

1013505292900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013505292900 is the 1006730-th square number.

It is an amenable number.

1013505292900 is an abundant number, since it is smaller than the sum of its proper divisors (1185823038951).

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

1013505292900 is an frugal number, since it uses more digits than its factorization.

1013505292900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201360 (or 100680 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The spelling of 1013505292900 in words is "one trillion, thirteen billion, five hundred five million, two hundred ninety-two thousand, nine hundred".