130013102101001 has 32 divisors (see below), whose sum is σ = 157892555520000. Its totient is φ = 104870306451456.

The previous prime is 130013102100983. The next prime is 130013102101009. The reversal of 130013102101001 is 100101201310031.

It is a happy number.

It is not a de Polignac number, because 130013102101001 - 2¹⁸ = 130013101838857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130013102101009) 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, 257301800 + ... + 257806598.

It is an arithmetic number, because the mean of its divisors is an integer number (4934142360000).

Almost surely, 2^{130013102101001} is an apocalyptic number.

It is an amenable number.

130013102101001 is a deficient number, since it is larger than the sum of its proper divisors (27879453418999).

130013102101001 is an frugal number, since it uses more digits than its factorization.

130013102101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512346 (or 512312 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 130013102101001 its reverse (100101201310031), we get a palindrome (230114303411032).

The spelling of 130013102101001 in words is "one hundred thirty trillion, thirteen billion, one hundred two million, one hundred one thousand, one".