1305053200113 has 16 divisors (see below), whose sum is σ = 1892476238016. Its totient is φ = 795158078400.

The previous prime is 1305053200097. The next prime is 1305053200133. The reversal of 1305053200113 is 3110023505031.

It is not a de Polignac number, because 1305053200113 - 2⁴ = 1305053200097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305053200133) 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, 165653995 + ... + 165661872.

It is an arithmetic number, because the mean of its divisors is an integer number (118279764876).

Almost surely, 2^{1305053200113} is an apocalyptic number.

1305053200113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305053200113 is a deficient number, since it is larger than the sum of its proper divisors (587423037903).

1305053200113 is a wasteful number, since it uses less digits than its factorization.

1305053200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331315984.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 1305053200113 its reverse (3110023505031), we get a palindrome (4415076705144).

The spelling of 1305053200113 in words is "one trillion, three hundred five billion, fifty-three million, two hundred thousand, one hundred thirteen".