3133031121000 has 384 divisors, whose sum is σ = 11561108832000. Its totient is φ = 758946240000.

The previous prime is 3133031120927. The next prime is 3133031121007. The reversal of 3133031121000 is 1211303313.

It is a happy number.

3133031121000 is a `hidden beast` number, since 3 + 1 + 330 + 311 + 21 + 0 + 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 (3133031121007) 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 95 ways as a sum of consecutive naturals, for example, 138489690 + ... + 138512310.

It is an arithmetic number, because the mean of its divisors is an integer number (30107054250).

Almost surely, 2^{3133031121000} is an apocalyptic number.

3133031121000 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 3133031121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780554416000).

3133031121000 is an abundant number, since it is smaller than the sum of its proper divisors (8428077711000).

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

3133031121000 is a wasteful number, since it uses less digits than its factorization.

3133031121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24058 (or 24041 counting only the distinct ones).

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

Adding to 3133031121000 its reverse (1211303313), we get a palindrome (3134242424313).

The spelling of 3133031121000 in words is "three trillion, one hundred thirty-three billion, thirty-one million, one hundred twenty-one thousand".