2131236328000 has 224 divisors, whose sum is σ = 5689511100000. Its totient is φ = 786156134400.

The previous prime is 2131236327947. The next prime is 2131236328061. The reversal of 2131236328000 is 8236321312.

It can be written as a sum of positive squares in 16 ways, for example, as 1071423729216 + 1059812598784 = 1035096^2 + 1029472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113662626 + ... + 113681374.

It is an arithmetic number, because the mean of its divisors is an integer number (25399603125).

Almost surely, 2^{2131236328000} is an apocalyptic number.

2131236328000 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 2131236328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844755550000).

2131236328000 is an abundant number, since it is smaller than the sum of its proper divisors (3558274772000).

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

2131236328000 is a wasteful number, since it uses less digits than its factorization.

2131236328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19882 (or 19862 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 2131236328000 in words is "two trillion, one hundred thirty-one billion, two hundred thirty-six million, three hundred twenty-eight thousand".