1010001001300 has 18 divisors (see below), whose sum is σ = 2191702173038. Its totient is φ = 404000400480.

The previous prime is 1010001001259. The next prime is 1010001001313. The reversal of 1010001001300 is 31001000101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36992367556 + 973008633744 = 192334^2 + 986412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5050004907 + ... + 5050005106.

Almost surely, 2^{1010001001300} is an apocalyptic number.

1010001001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001001300 is an abundant number, since it is smaller than the sum of its proper divisors (1181701171738).

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

1010001001300 is a wasteful number, since it uses less digits than its factorization.

1010001001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100010027 (or 10100010020 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1010001001300 its reverse (31001000101), we get a palindrome (1041002001401).

The spelling of 1010001001300 in words is "one trillion, ten billion, one million, one thousand, three hundred".