1300013123101 has 64 divisors (see below), whose sum is σ = 1667222839296. Its totient is φ = 984318451200.

The previous prime is 1300013123069. The next prime is 1300013123159. The reversal of 1300013123101 is 1013213100031.

It is not a de Polignac number, because 1300013123101 - 2⁵ = 1300013123069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300013123701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297960946 + ... + 297965308.

It is an arithmetic number, because the mean of its divisors is an integer number (26050356864).

Almost surely, 2^{1300013123101} is an apocalyptic number.

1300013123101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1300013123101 is a deficient number, since it is larger than the sum of its proper divisors (367209716195).

1300013123101 is a wasteful number, since it uses less digits than its factorization.

1300013123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1300013123101 its reverse (1013213100031), we get a palindrome (2313226223132).

The spelling of 1300013123101 in words is "one trillion, three hundred billion, thirteen million, one hundred twenty-three thousand, one hundred one".