11100131310 has 64 divisors (see below), whose sum is σ = 27308280384. Its totient is φ = 2885913600.

The previous prime is 11100131257. The next prime is 11100131311. The reversal of 11100131310 is 1313100111.

It is a super-2 number, since 2×11100131310² (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 (11100131311) 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, 3487920 + ... + 3491100.

It is an arithmetic number, because the mean of its divisors is an integer number (426691881).

Almost surely, 2^11100131310 is an apocalyptic number.

11100131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654140192).

11100131310 is an abundant number, since it is smaller than the sum of its proper divisors (16208149074).

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

11100131310 is a wasteful number, since it uses less digits than its factorization.

11100131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11100131310 its reverse (1313100111), we get a palindrome (12413231421).

It can be divided in two parts, 111001 and 31310, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 11100131310 in words is "eleven billion, one hundred million, one hundred thirty-one thousand, three hundred ten".