20132131013120 has 160 divisors (see below), whose sum is σ = 55989005010048. Its totient is φ = 6799422947328.

The previous prime is 20132131013119. The next prime is 20132131013123. The reversal of 20132131013120 is 2131013123102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×20132131013120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20132131013092 and 20132131013101.

It is not an unprimeable number, because it can be changed into a prime (20132131013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7183277 + ... + 9584556.

Almost surely, 2^{20132131013120} is an apocalyptic number.

20132131013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132131013120 is an abundant number, since it is smaller than the sum of its proper divisors (35856873996928).

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

20132131013120 is an equidigital number, since it uses as much as digits as its factorization.

20132131013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767930 (or 16767914 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20132131013120 its reverse (2131013123102), we get a palindrome (22263144136222).

The spelling of 20132131013120 in words is "twenty trillion, one hundred thirty-two billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".