2081131315200 has 2160 divisors, whose sum is σ = 9228780986880. Its totient is φ = 454825082880.

The previous prime is 2081131315103. The next prime is 2081131315201. The reversal of 2081131315200 is 25131311802.

2081131315200 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 1 + 3 + 131 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2081131315200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081131315201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20205158349 + ... + 20205158451.

Almost surely, 2^{2081131315200} is an apocalyptic number.

2081131315200 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 2081131315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614390493440).

2081131315200 is an abundant number, since it is smaller than the sum of its proper divisors (7147649671680).

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

2081131315200 is an equidigital number, since it uses as much as digits as its factorization.

2081131315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2081131315200 in words is "two trillion, eighty-one billion, one hundred thirty-one million, three hundred fifteen thousand, two hundred".