132220123353513 has 48 divisors (see below), whose sum is σ = 214874629154640. Its totient is φ = 77782670784000.

The previous prime is 132220123353511. The next prime is 132220123353529. The reversal of 132220123353513 is 315353321022231.

132220123353513 is a `hidden beast` number, since 1 + 32 + 2 + 20 + 12 + 33 + 53 + 513 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24510846410649 + 107709276942864 = 4950843^2 + 10378308^2 .

It is not a de Polignac number, because 132220123353513 - 2¹ = 132220123353511 is a prime.

It is a super-2 number, since 2×132220123353513² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132220123353511) 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, 192570678 + ... + 193256063.

It is an arithmetic number, because the mean of its divisors is an integer number (4476554774055).

Almost surely, 2^{132220123353513} is an apocalyptic number.

132220123353513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132220123353513 is a deficient number, since it is larger than the sum of its proper divisors (82654505801127).

132220123353513 is a wasteful number, since it uses less digits than its factorization.

132220123353513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385826890 (or 385826887 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 132220123353513 its reverse (315353321022231), we get a palindrome (447573444375744).

The spelling of 132220123353513 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-three million, three hundred fifty-three thousand, five hundred thirteen".