201131133103232 has 128 divisors (see below), whose sum is σ = 409707139564800. Its totient is φ = 98325467919360.

The previous prime is 201131133103181. The next prime is 201131133103249. The reversal of 201131133103232 is 232301331131102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×201131133103232³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4876713203 + ... + 4876754445.

It is an arithmetic number, because the mean of its divisors is an integer number (3200837027850).

Almost surely, 2^{201131133103232} 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 201131133103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204853569782400).

201131133103232 is an abundant number, since it is smaller than the sum of its proper divisors (208576006461568).

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

201131133103232 is a wasteful number, since it uses less digits than its factorization.

201131133103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45554 (or 45542 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 201131133103232 its reverse (232301331131102), we get a palindrome (433432464234334).

The spelling of 201131133103232 in words is "two hundred one trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred three thousand, two hundred thirty-two".