13332032103013 has 16 divisors (see below), whose sum is σ = 14520845309040. Its totient is φ = 12166580676096.

The previous prime is 13332032102957. The next prime is 13332032103023. The reversal of 13332032103013 is 31030123023331.

It can be written as a sum of positive squares in 8 ways, for example, as 2405424189249 + 10926607913764 = 1550943^2 + 3305542^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13332032103013 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 (13332032103023) 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, 7880331 + ... + 9421447.

It is an arithmetic number, because the mean of its divisors is an integer number (907552831815).

Almost surely, 2^{13332032103013} is an apocalyptic number.

13332032103013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13332032103013 is a deficient number, since it is larger than the sum of its proper divisors (1188813206027).

13332032103013 is a wasteful number, since it uses less digits than its factorization.

13332032103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548696.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13332032103013 its reverse (31030123023331), we get a palindrome (44362155126344).

The spelling of 13332032103013 in words is "thirteen trillion, three hundred thirty-two billion, thirty-two million, one hundred three thousand, thirteen".