1000131000330 has 256 divisors, whose sum is σ = 3031828807680. Its totient is φ = 205103923200.

The previous prime is 1000131000301. The next prime is 1000131000331. The reversal of 1000131000330 is 330001310001.

It is not an unprimeable number, because it can be changed into a prime (1000131000331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118621215 + ... + 118629645.

It is an arithmetic number, because the mean of its divisors is an integer number (11843081280).

Almost surely, 2^{1000131000330} is an apocalyptic number.

1000131000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000131000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515914403840).

1000131000330 is an abundant number, since it is smaller than the sum of its proper divisors (2031697807350).

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

1000131000330 is a wasteful number, since it uses less digits than its factorization.

1000131000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1000131000330 its reverse (330001310001), we get a palindrome (1330132310331).

The spelling of 1000131000330 in words is "one trillion, one hundred thirty-one million, three hundred thirty", and thus it is an aban number.