1010013301300 has 36 divisors (see below), whose sum is σ = 2192636185740. Its totient is φ = 403838072320.

The previous prime is 1010013301291. The next prime is 1010013301303. The reversal of 1010013301300 is 31033100101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 245504394256 + 764508907044 = 495484^2 + 874362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010013301303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1847695 + ... + 2331094.

It is an arithmetic number, because the mean of its divisors is an integer number (60906560715).

Almost surely, 2^{1010013301300} is an apocalyptic number.

1010013301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010013301300 is an abundant number, since it is smaller than the sum of its proper divisors (1182622884440).

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

1010013301300 is a wasteful number, since it uses less digits than its factorization.

1010013301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181220 (or 4181213 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1010013301300 its reverse (31033100101), we get a palindrome (1041046401401).

The spelling of 1010013301300 in words is "one trillion, ten billion, thirteen million, three hundred one thousand, three hundred".