1100131120 has 40 divisors (see below), whose sum is σ = 2790334800. Its totient is φ = 400047360.

The previous prime is 1100131099. The next prime is 1100131121. The reversal of 1100131120 is 211310011.

1100131120 = T₁₁₆ + T₁₁₇ + ... + T₁₈₇₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100131097 and 1100131106.

It is not an unprimeable number, because it can be changed into a prime (1100131121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624195 + ... + 625954.

It is an arithmetic number, because the mean of its divisors is an integer number (69758370).

Almost surely, 2^1100131120 is an apocalyptic number.

1100131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100131120 is an abundant number, since it is smaller than the sum of its proper divisors (1690203680).

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

1100131120 is a wasteful number, since it uses less digits than its factorization.

1100131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250173 (or 1250167 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1100131120 is about 33168.2245530267. The cubic root of 1100131120 is about 1032.3211297567.

Adding to 1100131120 its reverse (211310011), we get a palindrome (1311441131).

The spelling of 1100131120 in words is "one billion, one hundred million, one hundred thirty-one thousand, one hundred twenty".