3000131321382 has 512 divisors, whose sum is σ = 8010965975040. Its totient is φ = 824389125120.

The previous prime is 3000131321381. The next prime is 3000131321393. The reversal of 3000131321382 is 2831231310003.

3000131321382 is a `hidden beast` number, since 300 + 0 + 1 + 3 + 1 + 321 + 38 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000131321381) 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, 1717303833 + ... + 1717305579.

It is an arithmetic number, because the mean of its divisors is an integer number (15646417920).

Almost surely, 2^{3000131321382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000131321382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005482987520).

3000131321382 is an abundant number, since it is smaller than the sum of its proper divisors (5010834653658).

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

3000131321382 is a wasteful number, since it uses less digits than its factorization.

3000131321382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3000131321382 its reverse (2831231310003), we get a palindrome (5831362631385).

The spelling of 3000131321382 in words is "three trillion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred eighty-two".