201130040320 has 176 divisors, whose sum is σ = 537543641088. Its totient is φ = 71581122560.

The previous prime is 201130040317. The next prime is 201130040341. The reversal of 201130040320 is 23040031102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201130040294 and 201130040303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2609049 + ... + 2685031.

Almost surely, 2^201130040320 is an apocalyptic number.

201130040320 is a gapful number since it is divisible by the number (20) 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 201130040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268771820544).

201130040320 is an abundant number, since it is smaller than the sum of its proper divisors (336413600768).

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

201130040320 is a wasteful number, since it uses less digits than its factorization.

201130040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76066 (or 76048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201130040320 its reverse (23040031102), we get a palindrome (224170071422).

The spelling of 201130040320 in words is "two hundred one billion, one hundred thirty million, forty thousand, three hundred twenty".