132124321330013 has 6 divisors (see below), whose sum is σ = 134995288930206. Its totient is φ = 129313165554872.

The previous prime is 132124321329991. The next prime is 132124321330051. The reversal of 132124321330013 is 310033123421231.

It can be written as a sum of positive squares in only one way, i.e., 129875152253284 + 2249169076729 = 11396278^2 + 1499723^2 .

It is not a de Polignac number, because 132124321330013 - 2¹⁴ = 132124321313629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124321332013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29905910270 + ... + 29905914687.

It is an arithmetic number, because the mean of its divisors is an integer number (22499214821701).

Almost surely, 2^{132124321330013} is an apocalyptic number.

It is an amenable number.

132124321330013 is a deficient number, since it is larger than the sum of its proper divisors (2870967600193).

132124321330013 is an frugal number, since it uses more digits than its factorization.

132124321330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59811825051 (or 59811825004 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 132124321330013 its reverse (310033123421231), we get a palindrome (442157444751244).

The spelling of 132124321330013 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred twenty-one million, three hundred thirty thousand, thirteen".