10201013130 has 256 divisors, whose sum is σ = 32182935552. Its totient is φ = 2006400000.

The previous prime is 10201013129. The next prime is 10201013143. The reversal of 10201013130 is 3131010201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5365180 + ... + 5367080.

It is an arithmetic number, because the mean of its divisors is an integer number (125714592).

Almost surely, 2^10201013130 is an apocalyptic number.

10201013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091467776).

10201013130 is an abundant number, since it is smaller than the sum of its proper divisors (21981922422).

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

10201013130 is a wasteful number, since it uses less digits than its factorization.

10201013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10201013130 its reverse (3131010201), we get a palindrome (13332023331).

The spelling of 10201013130 in words is "ten billion, two hundred one million, thirteen thousand, one hundred thirty".