231132333301000 has 128 divisors (see below), whose sum is σ = 546970468262400. Its totient is φ = 91406807923200.

The previous prime is 231132333300983. The next prime is 231132333301021. The reversal of 231132333301000 is 103333231132.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 1186005567 + ... + 1186200433.

It is an arithmetic number, because the mean of its divisors is an integer number (4273206783300).

Almost surely, 2^{231132333301000} is an apocalyptic number.

231132333301000 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 231132333301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273485234131200).

231132333301000 is an abundant number, since it is smaller than the sum of its proper divisors (315838134961400).

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

231132333301000 is a wasteful number, since it uses less digits than its factorization.

231132333301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208304 (or 208290 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 231132333301000 its reverse (103333231132), we get a palindrome (231235666532132).

The spelling of 231132333301000 in words is "two hundred thirty-one trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred one thousand".