3121310010000 has 1200 divisors, whose sum is σ = 12811773220224. Its totient is φ = 640493568000.

The previous prime is 3121310009957. The next prime is 3121310010029. The reversal of 3121310010000 is 100131213.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 239 ways as a sum of consecutive naturals, for example, 1313128812 + ... + 1313131188.

Almost surely, 2^{3121310010000} is an apocalyptic number.

3121310010000 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 3121310010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405886610112).

3121310010000 is an abundant number, since it is smaller than the sum of its proper divisors (9690463210224).

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

3121310010000 is a wasteful number, since it uses less digits than its factorization.

3121310010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3121310010000 its reverse (100131213), we get a palindrome (3121410141213).

The spelling of 3121310010000 in words is "three trillion, one hundred twenty-one billion, three hundred ten million, ten thousand".