31133022000 has 320 divisors, whose sum is σ = 103421380608. Its totient is φ = 8052480000.

The previous prime is 31133021993. The next prime is 31133022047. The reversal of 31133022000 is 22033113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66665767 + ... + 66666233.

Almost surely, 2^31133022000 is an apocalyptic number.

31133022000 is a gapful number since it is divisible by the number (30) 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 31133022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710690304).

31133022000 is an abundant number, since it is smaller than the sum of its proper divisors (72288358608).

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

31133022000 is a wasteful number, since it uses less digits than its factorization.

31133022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31133022000 its reverse (22033113), we get a palindrome (31155055113).

The spelling of 31133022000 in words is "thirty-one billion, one hundred thirty-three million, twenty-two thousand".