1013130000405 has 48 divisors (see below), whose sum is σ = 1789447561200. Its totient is φ = 530075280384.

The previous prime is 1013130000397. The next prime is 1013130000437. The reversal of 1013130000405 is 5040000313101.

1013130000405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45240013809 + 967889986596 = 212697^2 + 983814^2 .

It is not a de Polignac number, because 1013130000405 - 2³ = 1013130000397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23707017 + ... + 23749713.

It is an arithmetic number, because the mean of its divisors is an integer number (37280157525).

Almost surely, 2^{1013130000405} is an apocalyptic number.

1013130000405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013130000405 is a deficient number, since it is larger than the sum of its proper divisors (776317560795).

1013130000405 is a wasteful number, since it uses less digits than its factorization.

1013130000405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52710 (or 52707 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 1013130000405 its reverse (5040000313101), we get a palindrome (6053130313506).

The spelling of 1013130000405 in words is "one trillion, thirteen billion, one hundred thirty million, four hundred five", and thus it is an aban number.