201330132231000 has 512 divisors, whose sum is σ = 672680945664000. Its totient is φ = 49981577472000.

The previous prime is 201330132230963. The next prime is 201330132231029. The reversal of 201330132231000 is 132231033102.

201330132231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201330132231000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3779472366 + ... + 3779525634.

It is an arithmetic number, because the mean of its divisors is an integer number (1313829972000).

Almost surely, 2^{201330132231000} is an apocalyptic number.

201330132231000 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 201330132231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336340472832000).

201330132231000 is an abundant number, since it is smaller than the sum of its proper divisors (471350813433000).

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

201330132231000 is a wasteful number, since it uses less digits than its factorization.

201330132231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54460 (or 54446 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201330132231000 its reverse (132231033102), we get a palindrome (201462363264102).

The spelling of 201330132231000 in words is "two hundred one trillion, three hundred thirty billion, one hundred thirty-two million, two hundred thirty-one thousand".