130013102101000 has 64 divisors (see below), whose sum is σ = 304274192751360. Its totient is φ = 51997799160000.

The previous prime is 130013102100983. The next prime is 130013102101009. The reversal of 130013102101000 is 101201310031.

It is a super-2 number, since 2×130013102101000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130013102101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307606 + ... + 16289605.

It is an arithmetic number, because the mean of its divisors is an integer number (4754284261740).

Almost surely, 2^{130013102101000} is an apocalyptic number.

130013102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013102101000 is an abundant number, since it is smaller than the sum of its proper divisors (174261090650360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130013102101000 is a wasteful number, since it uses less digits than its factorization.

130013102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18604223 (or 18604209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 130013102101000 its reverse (101201310031), we get a palindrome (130114303411031).

The spelling of 130013102101000 in words is "one hundred thirty trillion, thirteen billion, one hundred two million, one hundred one thousand".