11205312013 has 24 divisors (see below), whose sum is σ = 13371878520. Its totient is φ = 9356820480.

The previous prime is 11205312007. The next prime is 11205312029. The reversal of 11205312013 is 31021350211.

It can be written as a sum of positive squares in 4 ways, for example, as 339959844 + 10865352169 = 18438^2 + 104237^2 .

It is not a de Polignac number, because 11205312013 - 2¹⁷ = 11205180941 is a prime.

It is a super-2 number, since 2×11205312013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205312043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541295 + ... + 1548547.

It is an arithmetic number, because the mean of its divisors is an integer number (557161605).

Almost surely, 2^11205312013 is an apocalyptic number.

It is an amenable number.

11205312013 is a deficient number, since it is larger than the sum of its proper divisors (2166566507).

11205312013 is an equidigital number, since it uses as much as digits as its factorization.

11205312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 11205312013 its reverse (31021350211), we get a palindrome (42226662224).

The spelling of 11205312013 in words is "eleven billion, two hundred five million, three hundred twelve thousand, thirteen".