3131121120000 has 360 divisors, whose sum is σ = 10425182811120. Its totient is φ = 834017280000.

The previous prime is 3131121119957. The next prime is 3131121120031. The reversal of 3131121120000 is 211211313.

It is a happy number.

It is a super-2 number, since 2×3131121120000² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 490076806 + ... + 490083194.

It is an arithmetic number, because the mean of its divisors is an integer number (28958841142).

Almost surely, 2^{3131121120000} is an apocalyptic number.

3131121120000 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 3131121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212591405560).

3131121120000 is an abundant number, since it is smaller than the sum of its proper divisors (7294061691120).

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

3131121120000 is an equidigital number, since it uses as much as digits as its factorization.

3131121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3131121120000 its reverse (211211313), we get a palindrome (3131332331313).

The spelling of 3131121120000 in words is "three trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred twenty thousand".