11011214265131 has 16 divisors (see below), whose sum is σ = 11282443729920. Its totient is φ = 10743453131040.

The previous prime is 11011214265109. The next prime is 11011214265143. The reversal of 11011214265131 is 13156241211011.

It is a cyclic number.

It is not a de Polignac number, because 11011214265131 - 2³⁰ = 11010140523307 is a prime.

It is a super-4 number, since 4×11011214265131⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011214265094 and 11011214265103.

It is not an unprimeable number, because it can be changed into a prime (11011214265151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5504786 + ... + 7233608.

It is an arithmetic number, because the mean of its divisors is an integer number (705152733120).

Almost surely, 2^{11011214265131} is an apocalyptic number.

11011214265131 is a deficient number, since it is larger than the sum of its proper divisors (271229464789).

11011214265131 is a wasteful number, since it uses less digits than its factorization.

11011214265131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729826.

The product of its (nonzero) digits is 1440, while the sum is 29.

Adding to 11011214265131 its reverse (13156241211011), we get a palindrome (24167455476142).

The spelling of 11011214265131 in words is "eleven trillion, eleven billion, two hundred fourteen million, two hundred sixty-five thousand, one hundred thirty-one".