11131113122010 has 48 divisors (see below), whose sum is σ = 33075307564416. Its totient is φ = 2544254427744.

The previous prime is 11131113121963. The next prime is 11131113122027. The reversal of 11131113122010 is 1022131113111.

11131113122010 is a `hidden beast` number, since 1 + 1 + 1 + 311 + 131 + 220 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8834216134 + ... + 8834217393.

It is an arithmetic number, because the mean of its divisors is an integer number (689068907592).

Almost surely, 2^{11131113122010} is an apocalyptic number.

11131113122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131113122010 is an abundant number, since it is smaller than the sum of its proper divisors (21944194442406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131113122010 is a wasteful number, since it uses less digits than its factorization.

11131113122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17668433547 (or 17668433544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11131113122010 its reverse (1022131113111), we get a palindrome (12153244235121).

The spelling of 11131113122010 in words is "eleven trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred twenty-two thousand, ten".