2132414220321 has 24 divisors (see below), whose sum is σ = 3840191843904. Its totient is φ = 1107747646560.

The previous prime is 2132414220311. The next prime is 2132414220347. The reversal of 2132414220321 is 1230224142312.

2132414220321 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 414 + 220 + 3 + 21 = 666.

It is not a de Polignac number, because 2132414220321 - 2¹¹ = 2132414218273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2132414220301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538537706 + ... + 1538539091.

It is an arithmetic number, because the mean of its divisors is an integer number (160007993496).

Almost surely, 2^{2132414220321} is an apocalyptic number.

2132414220321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2132414220321 is a deficient number, since it is larger than the sum of its proper divisors (1707777623583).

2132414220321 is a wasteful number, since it uses less digits than its factorization.

2132414220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077076821 (or 3077076818 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2132414220321 its reverse (1230224142312), we get a palindrome (3362638362633).

The spelling of 2132414220321 in words is "two trillion, one hundred thirty-two billion, four hundred fourteen million, two hundred twenty thousand, three hundred twenty-one".