3133133003000 has 1024 divisors, whose sum is σ = 10418371891200. Its totient is φ = 849346560000.

The previous prime is 3133133002969. The next prime is 3133133003003. The reversal of 3133133003000 is 3003313313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133133003003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4887882680 + ... + 4887883320.

It is an arithmetic number, because the mean of its divisors is an integer number (10174191300).

Almost surely, 2^{3133133003000} 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 3133133003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209185945600).

3133133003000 is an abundant number, since it is smaller than the sum of its proper divisors (7285238888200).

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

3133133003000 is a wasteful number, since it uses less digits than its factorization.

3133133003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 3133133003000 its reverse (3003313313), we get a palindrome (3136136316313).

It can be divided in two parts, 313 and 3133003000, that added together give a palindrome (3133003313).

The spelling of 3133133003000 in words is "three trillion, one hundred thirty-three billion, one hundred thirty-three million, three thousand".