11131313414211 has 32 divisors (see below), whose sum is σ = 16540816269120. Its totient is φ = 7398386698752.

The previous prime is 11131313414201. The next prime is 11131313414219. The reversal of 11131313414211 is 11241431313111.

11131313414211 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 31 + 3 + 414 + 211 = 666.

It is not a de Polignac number, because 11131313414211 - 2⁷ = 11131313414083 is a prime.

It is a super-2 number, since 2×11131313414211² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11131313414219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200996521 + ... + 201051893.

It is an arithmetic number, because the mean of its divisors is an integer number (516900508410).

Almost surely, 2^{11131313414211} is an apocalyptic number.

11131313414211 is a deficient number, since it is larger than the sum of its proper divisors (5409502854909).

11131313414211 is a wasteful number, since it uses less digits than its factorization.

11131313414211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77812 (or 77806 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 11131313414211 its reverse (11241431313111), we get a palindrome (22372744727322).

The spelling of 11131313414211 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirteen million, four hundred fourteen thousand, two hundred eleven".