130101736000 has 112 divisors (see below), whose sum is σ = 325389038832. Its totient is φ = 51525120000.

The previous prime is 130101735997. The next prime is 130101736001. The reversal of 130101736000 is 637101031.

It can be written as a sum of positive squares in 8 ways, for example, as 42902008384 + 87199727616 = 207128^2 + 295296^2 .

It is not an unprimeable number, because it can be changed into a prime (130101736001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727492 + ... + 888508.

Almost surely, 2^130101736000 is an apocalyptic number.

130101736000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130101736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162694519416).

130101736000 is an abundant number, since it is smaller than the sum of its proper divisors (195287302832).

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

130101736000 is a wasteful number, since it uses less digits than its factorization.

130101736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161145 (or 161125 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 130101736000 its reverse (637101031), we get a palindrome (130738837031).

The spelling of 130101736000 in words is "one hundred thirty billion, one hundred one million, seven hundred thirty-six thousand".