1300540223513 has 16 divisors (see below), whose sum is σ = 1399701551760. Its totient is φ = 1203898982400.

The previous prime is 1300540223509. The next prime is 1300540223551. The reversal of 1300540223513 is 3153220450031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 513075661849 + 787464561664 = 716293^2 + 887392^2 .

It is not a de Polignac number, because 1300540223513 - 2² = 1300540223509 is a prime.

It is a super-2 number, since 2×1300540223513² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300540223413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25361183 + ... + 25412411.

It is an arithmetic number, because the mean of its divisors is an integer number (87481346985).

Almost surely, 2^{1300540223513} is an apocalyptic number.

It is an amenable number.

1300540223513 is a deficient number, since it is larger than the sum of its proper divisors (99161328247).

1300540223513 is a wasteful number, since it uses less digits than its factorization.

1300540223513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75788.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 1300540223513 its reverse (3153220450031), we get a palindrome (4453760673544).

The spelling of 1300540223513 in words is "one trillion, three hundred billion, five hundred forty million, two hundred twenty-three thousand, five hundred thirteen".