31133003121000 has 768 divisors, whose sum is σ = 117350693740800. Its totient is φ = 7380762624000.

The previous prime is 31133003120957. The next prime is 31133003121007. The reversal of 31133003121000 is 12130033113.

It is a happy number.

31133003121000 is a `hidden beast` number, since 3 + 11 + 330 + 0 + 312 + 10 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31133003121007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1127299192 + ... + 1127326808.

It is an arithmetic number, because the mean of its divisors is an integer number (152800382475).

Almost surely, 2^{31133003121000} is an apocalyptic number.

31133003121000 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 31133003121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58675346870400).

31133003121000 is an abundant number, since it is smaller than the sum of its proper divisors (86217690619800).

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

31133003121000 is a wasteful number, since it uses less digits than its factorization.

31133003121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27907 (or 27890 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31133003121000 its reverse (12130033113), we get a palindrome (31145133154113).

The spelling of 31133003121000 in words is "thirty-one trillion, one hundred thirty-three billion, three million, one hundred twenty-one thousand".