232211312131100 has 288 divisors, whose sum is σ = 574327400693760. Its totient is φ = 81028243296000.

The previous prime is 232211312131063. The next prime is 232211312131153. The reversal of 232211312131100 is 1131213112232.

It is a happy number.

232211312131100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258298979 + ... + 259196421.

It is an arithmetic number, because the mean of its divisors is an integer number (1994192363520).

Almost surely, 2^{232211312131100} is an apocalyptic number.

232211312131100 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 232211312131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287163700346880).

232211312131100 is an abundant number, since it is smaller than the sum of its proper divisors (342116088562660).

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

232211312131100 is a wasteful number, since it uses less digits than its factorization.

232211312131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897721 (or 897714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 232211312131100 its reverse (1131213112232), we get a palindrome (233342525243332).

The spelling of 232211312131100 in words is "two hundred thirty-two trillion, two hundred eleven billion, three hundred twelve million, one hundred thirty-one thousand, one hundred".