3102232133000 has 1024 divisors, whose sum is σ = 10032070164480. Its totient is φ = 866737152000.

The previous prime is 3102232132991. The next prime is 3102232133003. The reversal of 3102232133000 is 3312322013.

3102232133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3102232133003) 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, 10961950859 + ... + 10961951141.

It is an arithmetic number, because the mean of its divisors is an integer number (9796943520).

Almost surely, 2^{3102232133000} 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 3102232133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016035082240).

3102232133000 is an abundant number, since it is smaller than the sum of its proper divisors (6929838031480).

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

3102232133000 is a wasteful number, since it uses less digits than its factorization.

3102232133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3102232133000 its reverse (3312322013), we get a palindrome (3105544455013).

The spelling of 3102232133000 in words is "three trillion, one hundred two billion, two hundred thirty-two million, one hundred thirty-three thousand".