11137601313 has 48 divisors (see below), whose sum is σ = 16684658640. Its totient is φ = 7155412992.

The previous prime is 11137601311. The next prime is 11137601339. The reversal of 11137601313 is 31310673111.

11137601313 is a `hidden beast` number, since 1 + 11 + 37 + 601 + 3 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 549808704 + 10587792609 = 23448^2 + 102897^2 .

It is not a de Polignac number, because 11137601313 - 2¹ = 11137601311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11137601311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11037753 + ... + 11038761.

It is an arithmetic number, because the mean of its divisors is an integer number (347597055).

Almost surely, 2^11137601313 is an apocalyptic number.

It is an amenable number.

11137601313 is a deficient number, since it is larger than the sum of its proper divisors (5547057327).

11137601313 is a wasteful number, since it uses less digits than its factorization.

11137601313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

It can be divided in two parts, 111 and 37601313, that added together give a square (37601424 = 6132²).

The spelling of 11137601313 in words is "eleven billion, one hundred thirty-seven million, six hundred one thousand, three hundred thirteen".