21532313080314 has 96 divisors (see below), whose sum is σ = 49685404017600. Its totient is φ = 6719914586880.

The previous prime is 21532313080309. The next prime is 21532313080319. The reversal of 21532313080314 is 41308031323512.

21532313080314 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 2 + 31 + 308 + 0 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (21532313080309) and next prime (21532313080319).

It is a super-2 number, since 2×21532313080314² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21532313080319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61034932 + ... + 61386704.

It is an arithmetic number, because the mean of its divisors is an integer number (517556291850).

Almost surely, 2^{21532313080314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21532313080314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842702008800).

21532313080314 is an abundant number, since it is smaller than the sum of its proper divisors (28153090937286).

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

21532313080314 is a wasteful number, since it uses less digits than its factorization.

21532313080314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353900 (or 353897 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21532313080314 in words is "twenty-one trillion, five hundred thirty-two billion, three hundred thirteen million, eighty thousand, three hundred fourteen".