31321231122132 has 192 divisors, whose sum is σ = 97198598246400. Its totient is φ = 8528017322880.

The previous prime is 31321231122131. The next prime is 31321231122149. The reversal of 31321231122132 is 23122113212313.

31321231122132 is a `hidden beast` number, since 3 + 1 + 3 + 212 + 311 + 2 + 2 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 31321231122096 and 31321231122105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321231122131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329207 + ... + 8025537.

It is an arithmetic number, because the mean of its divisors is an integer number (506242699200).

Almost surely, 2^{31321231122132} 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 31321231122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48599299123200).

31321231122132 is an abundant number, since it is smaller than the sum of its proper divisors (65877367124268).

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

31321231122132 is a wasteful number, since it uses less digits than its factorization.

31321231122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696643 (or 6696635 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 31321231122132 its reverse (23122113212313), we get a palindrome (54443344334445).

The spelling of 31321231122132 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-two".