11737214110013 has 12 divisors (see below), whose sum is σ = 13654359174492. Its totient is φ = 10059831714240.

The previous prime is 11737214110009. The next prime is 11737214110133. The reversal of 11737214110013 is 31001141273711.

11737214110013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3607405066489 + 8129809043524 = 1899317^2 + 2851282^2 .

It is not a de Polignac number, because 11737214110013 - 2² = 11737214110009 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 (11737214010013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6807608 + ... + 8355713.

It is an arithmetic number, because the mean of its divisors is an integer number (1137863264541).

Almost surely, 2^{11737214110013} is an apocalyptic number.

It is an amenable number.

11737214110013 is a deficient number, since it is larger than the sum of its proper divisors (1917145064479).

11737214110013 is a wasteful number, since it uses less digits than its factorization.

11737214110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15179132 (or 15179125 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

Adding to 11737214110013 its reverse (31001141273711), we get a palindrome (42738355383724).

The spelling of 11737214110013 in words is "eleven trillion, seven hundred thirty-seven billion, two hundred fourteen million, one hundred ten thousand, thirteen".