2131000945200 has 180 divisors, whose sum is σ = 7397638201408. Its totient is φ = 568076889600.

The previous prime is 2131000945181. The next prime is 2131000945223. The reversal of 2131000945200 is 25490001312.

2131000945200 is a `hidden beast` number, since 2 + 131 + 0 + 0 + 0 + 9 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 10835745 + ... + 11030655.

Almost surely, 2^{2131000945200} is an apocalyptic number.

2131000945200 is a gapful number since it is divisible by the number (20) 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 2131000945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698819100704).

2131000945200 is an abundant number, since it is smaller than the sum of its proper divisors (5266637256208).

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

2131000945200 is a wasteful number, since it uses less digits than its factorization.

2131000945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197972 (or 197958 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 2131000945200 its reverse (25490001312), we get a palindrome (2156490946512).

The spelling of 2131000945200 in words is "two trillion, one hundred thirty-one billion, nine hundred forty-five thousand, two hundred".