3131200121100 has 288 divisors, whose sum is σ = 9716624096256. Its totient is φ = 776486937600.

The previous prime is 3131200121099. The next prime is 3131200121149. The reversal of 3131200121100 is 11210021313.

It is a happy number.

It is a super-3 number, since 3×3131200121100³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3131200121100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385754242 + ... + 385762358.

It is an arithmetic number, because the mean of its divisors is an integer number (33738278112).

Almost surely, 2^{3131200121100} is an apocalyptic number.

3131200121100 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 3131200121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858312048128).

3131200121100 is an abundant number, since it is smaller than the sum of its proper divisors (6585423975156).

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

3131200121100 is a wasteful number, since it uses less digits than its factorization.

3131200121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9698 counting only the distinct ones).

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

Adding to 3131200121100 its reverse (11210021313), we get a palindrome (3142410142413).

The spelling of 3131200121100 in words is "three trillion, one hundred thirty-one billion, two hundred million, one hundred twenty-one thousand, one hundred".