132202001132113 has 24 divisors (see below), whose sum is σ = 153863093421576. Its totient is φ = 113112298844160.

The previous prime is 132202001132083. The next prime is 132202001132137. The reversal of 132202001132113 is 311231100202231.

It can be written as a sum of positive squares in 4 ways, for example, as 14722047172624 + 117479953959489 = 3836932^2 + 10838817^2 .

It is a de Polignac number, because none of the positive numbers 2^k-132202001132113 is a prime.

It is a super-3 number, since 3×132202001132113³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132202001132413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146124681 + ... + 147026617.

It is an arithmetic number, because the mean of its divisors is an integer number (6410962225899).

Almost surely, 2^{132202001132113} is an apocalyptic number.

It is an amenable number.

132202001132113 is a deficient number, since it is larger than the sum of its proper divisors (21661092289463).

132202001132113 is a wasteful number, since it uses less digits than its factorization.

132202001132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973233 (or 973222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 132202001132113 its reverse (311231100202231), we get a palindrome (443433101334344).

The spelling of 132202001132113 in words is "one hundred thirty-two trillion, two hundred two billion, one million, one hundred thirty-two thousand, one hundred thirteen".