31122133000 has 256 divisors, whose sum is σ = 90642240000. Its totient is φ = 9759052800.

The previous prime is 31122132967. The next prime is 31122133013. The reversal of 31122133000 is 33122113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852966 + ... + 3861034.

It is an arithmetic number, because the mean of its divisors is an integer number (354071250).

Almost surely, 2^31122133000 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 31122133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45321120000).

31122133000 is an abundant number, since it is smaller than the sum of its proper divisors (59520107000).

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

31122133000 is a wasteful number, since it uses less digits than its factorization.

31122133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31122133000 its reverse (33122113), we get a palindrome (31155255113).

The spelling of 31122133000 in words is "thirty-one billion, one hundred twenty-two million, one hundred thirty-three thousand".