11211005313 has 10 divisors (see below), whose sum is σ = 16747304354. Its totient is φ = 7474003488.

The previous prime is 11211005263. The next prime is 11211005329. The reversal of 11211005313 is 31350011211.

11211005313 is a `hidden beast` number, since 1 + 121 + 10 + 0 + 531 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9461841984 + 1749163329 = 97272^2 + 41823^2 .

It is not a de Polignac number, because 11211005313 - 2²⁵ = 11177450881 is a prime.

It is a super-2 number, since 2×11211005313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11211005383) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 69203656 + ... + 69203817.

Almost surely, 2^11211005313 is an apocalyptic number.

It is an amenable number.

11211005313 is a deficient number, since it is larger than the sum of its proper divisors (5536299041).

11211005313 is an equidigital number, since it uses as much as digits as its factorization.

11211005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138407485 (or 138407476 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 11211005313 its reverse (31350011211), we get a palindrome (42561016524).

The spelling of 11211005313 in words is "eleven billion, two hundred eleven million, five thousand, three hundred thirteen".