2132011201320 has 2304 divisors, whose sum is σ = 9931871738880. Its totient is φ = 389471846400.

The previous prime is 2132011201297. The next prime is 2132011201343. The reversal of 2132011201320 is 231021102312.

2132011201320 is a `hidden beast` number, since 2 + 1 + 320 + 1 + 1 + 20 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2132011201297) and next prime (2132011201343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132011201293 and 2132011201302.

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 575 ways as a sum of consecutive naturals, for example, 4946661505 + ... + 4946661935.

It is an arithmetic number, because the mean of its divisors is an integer number (4310708220).

Almost surely, 2^{2132011201320} is an apocalyptic number.

2132011201320 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 2132011201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965935869440).

2132011201320 is an abundant number, since it is smaller than the sum of its proper divisors (7799860537560).

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

2132011201320 is a wasteful number, since it uses less digits than its factorization.

2132011201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2132011201320 its reverse (231021102312), we get a palindrome (2363032303632).

The spelling of 2132011201320 in words is "two trillion, one hundred thirty-two billion, eleven million, two hundred one thousand, three hundred twenty".