3133112121000 has 384 divisors, whose sum is σ = 11599521991200. Its totient is φ = 759233126400.

The previous prime is 3133112120939. The next prime is 3133112121037. The reversal of 3133112121000 is 1212113313.

3133112121000 is a `hidden beast` number, since 3 + 1 + 331 + 121 + 210 + 0 + 0 = 666.

3133112121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 20958084 + 3133091162916 = 4578^2 + 1770054^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4083934 + ... + 4790066.

Almost surely, 2^{3133112121000} is an apocalyptic number.

3133112121000 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 3133112121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799760995600).

3133112121000 is an abundant number, since it is smaller than the sum of its proper divisors (8466409870200).

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

3133112121000 is a wasteful number, since it uses less digits than its factorization.

3133112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706206 (or 706189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3133112121000 its reverse (1212113313), we get a palindrome (3134324234313).

The spelling of 3133112121000 in words is "three trillion, one hundred thirty-three billion, one hundred twelve million, one hundred twenty-one thousand".