201040131012 has 192 divisors, whose sum is σ = 561568702464. Its totient is φ = 54781009920.

The previous prime is 201040130987. The next prime is 201040131067. The reversal of 201040131012 is 210131040102.

It is a junction number, because it is equal to n+sod(n) for n = 201040130982 and 201040131000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88445908 + ... + 88448180.

It is an arithmetic number, because the mean of its divisors is an integer number (2924836992).

Almost surely, 2^201040131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201040131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280784351232).

201040131012 is an abundant number, since it is smaller than the sum of its proper divisors (360528571452).

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

201040131012 is a wasteful number, since it uses less digits than its factorization.

201040131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201040131012 its reverse (210131040102), we get a palindrome (411171171114).

The spelling of 201040131012 in words is "two hundred one billion, forty million, one hundred thirty-one thousand, twelve".