3131330100000 has 576 divisors, whose sum is σ = 10830424308480. Its totient is φ = 790899200000.

The previous prime is 3131330099993. The next prime is 3131330100013. The reversal of 3131330100000 is 10331313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 461096605 + ... + 461103395.

It is an arithmetic number, because the mean of its divisors is an integer number (18802819980).

Almost surely, 2^{3131330100000} is an apocalyptic number.

3131330100000 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 3131330100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415212154240).

3131330100000 is an abundant number, since it is smaller than the sum of its proper divisors (7699094208480).

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

3131330100000 is an equidigital number, since it uses as much as digits as its factorization.

3131330100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 3131330100000 its reverse (10331313), we get a palindrome (3131340431313).

The spelling of 3131330100000 in words is "three trillion, one hundred thirty-one billion, three hundred thirty million, one hundred thousand".