130101320013 has 16 divisors (see below), whose sum is σ = 206869180416. Its totient is φ = 71111280240.

The previous prime is 130101320003. The next prime is 130101320017. The reversal of 130101320013 is 310023101031.

It is not a de Polignac number, because 130101320013 - 2⁸ = 130101319757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130101319974 and 130101320001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130101320017) 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, 134679973 + ... + 134680938.

It is an arithmetic number, because the mean of its divisors is an integer number (12929323776).

Almost surely, 2^130101320013 is an apocalyptic number.

It is an amenable number.

130101320013 is a deficient number, since it is larger than the sum of its proper divisors (76767860403).

130101320013 is a wasteful number, since it uses less digits than its factorization.

130101320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269360944.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130101320013 its reverse (310023101031), we get a palindrome (440124421044).

The spelling of 130101320013 in words is "one hundred thirty billion, one hundred one million, three hundred twenty thousand, thirteen".