2131322021120 has 72 divisors (see below), whose sum is σ = 5201506638216. Its totient is φ = 836443332608.

The previous prime is 2131322021117. The next prime is 2131322021201. The reversal of 2131322021120 is 211202231312.

It can be written as a sum of positive squares in 4 ways, for example, as 376269374464 + 1755052646656 = 613408^2 + 1324784^2 .

It is a super-4 number, since 4×2131322021120⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 = 2131322021092 and 2131322021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15640607 + ... + 15776286.

It is an arithmetic number, because the mean of its divisors is an integer number (72243147753).

Almost surely, 2^{2131322021120} is an apocalyptic number.

2131322021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131322021120 is an abundant number, since it is smaller than the sum of its proper divisors (3070184617096).

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

2131322021120 is an equidigital number, since it uses as much as digits as its factorization.

2131322021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31416967 (or 31416953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2131322021120 its reverse (211202231312), we get a palindrome (2342524252432).

The spelling of 2131322021120 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-two million, twenty-one thousand, one hundred twenty".