31111212132 has 384 divisors, whose sum is σ = 110954188800. Its totient is φ = 7276262400.

The previous prime is 31111212107. The next prime is 31111212137. The reversal of 31111212132 is 23121211113.

31111212132 is a `hidden beast` number, since 311 + 11 + 212 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31111212137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4428919 + ... + 4435937.

It is an arithmetic number, because the mean of its divisors is an integer number (288943200).

Almost surely, 2^31111212132 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 31111212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55477094400).

31111212132 is an abundant number, since it is smaller than the sum of its proper divisors (79842976668).

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

31111212132 is a wasteful number, since it uses less digits than its factorization.

31111212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7096 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31111212132 its reverse (23121211113), we get a palindrome (54232423245).

The spelling of 31111212132 in words is "thirty-one billion, one hundred eleven million, two hundred twelve thousand, one hundred thirty-two".