1300005103540 has 96 divisors (see below), whose sum is σ = 3267800516736. Its totient is φ = 428131991040.

The previous prime is 1300005103517. The next prime is 1300005103543. The reversal of 1300005103540 is 453015000031.

It is a happy number.

It is a super-2 number, since 2×1300005103540² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300005103543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4136602 + ... + 4439761.

It is an arithmetic number, because the mean of its divisors is an integer number (34039588716).

Almost surely, 2^{1300005103540} is an apocalyptic number.

1300005103540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300005103540 is an abundant number, since it is smaller than the sum of its proper divisors (1967795413196).

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

1300005103540 is a wasteful number, since it uses less digits than its factorization.

1300005103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576449 (or 8576447 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 1300005103540 in words is "one trillion, three hundred billion, five million, one hundred three thousand, five hundred forty".