31101120000132 has 192 divisors, whose sum is σ = 90823552512000. Its totient is φ = 8065196904960.

The previous prime is 31101120000107. The next prime is 31101120000133. The reversal of 31101120000132 is 23100002110113.

It is a happy number.

It is a super-2 number, since 2×31101120000132² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31101120000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14595369 + ... + 16589967.

It is an arithmetic number, because the mean of its divisors is an integer number (473039336000).

Almost surely, 2^{31101120000132} 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 31101120000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45411776256000).

31101120000132 is an abundant number, since it is smaller than the sum of its proper divisors (59722432511868).

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

31101120000132 is a wasteful number, since it uses less digits than its factorization.

31101120000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994866 (or 1994864 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31101120000132 its reverse (23100002110113), we get a palindrome (54201122110245).

The spelling of 31101120000132 in words is "thirty-one trillion, one hundred one billion, one hundred twenty million, one hundred thirty-two", and thus it is an aban number.