11137135013 has 16 divisors (see below), whose sum is σ = 12149878320. Its totient is φ = 10165948416.

The previous prime is 11137135007. The next prime is 11137135027. The reversal of 11137135013 is 31053173111.

It can be written as a sum of positive squares in 8 ways, for example, as 1176695809 + 9960439204 = 34303^2 + 99802^2 .

It is a cyclic number.

It is not a de Polignac number, because 11137135013 - 2⁴ = 11137134997 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 (11137135043) 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, 168593 + ... + 225161.

It is an arithmetic number, because the mean of its divisors is an integer number (759367395).

Almost surely, 2^11137135013 is an apocalyptic number.

It is an amenable number.

11137135013 is a deficient number, since it is larger than the sum of its proper divisors (1012743307).

11137135013 is a wasteful number, since it uses less digits than its factorization.

11137135013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56936.

The product of its (nonzero) digits is 945, while the sum is 26.

The spelling of 11137135013 in words is "eleven billion, one hundred thirty-seven million, one hundred thirty-five thousand, thirteen".