132114013 has 16 divisors (see below), whose sum is σ = 141016176. Its totient is φ = 123586560.

The previous prime is 132114007. The next prime is 132114023. The reversal of 132114013 is 310411231.

It can be written as a sum of positive squares in 8 ways, for example, as 24964 + 132089049 = 158^2 + 11493^2 .

It is a cyclic number.

It is not a de Polignac number, because 132114013 - 2⁵ = 132113981 is a prime.

It is a super-2 number, since 2×132114013² = 34908224861928338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110145 + ... + 111337.

It is an arithmetic number, because the mean of its divisors is an integer number (8813511).

Almost surely, 2^132114013 is an apocalyptic number.

It is an amenable number.

132114013 is a deficient number, since it is larger than the sum of its proper divisors (8902163).

132114013 is a wasteful number, since it uses less digits than its factorization.

132114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 132114013 is about 11494.0860010703. The cubic root of 132114013 is about 509.3108891071.

Adding to 132114013 its reverse (310411231), we get a palindrome (442525244).

The spelling of 132114013 in words is "one hundred thirty-two million, one hundred fourteen thousand, thirteen".