11031100020 has 120 divisors (see below), whose sum is σ = 35449206408. Its totient is φ = 2869862400.

The previous prime is 11031100019. The next prime is 11031100021. The reversal of 11031100020 is 2000113011.

It is an interprime number because it is at equal distance from previous prime (11031100019) and next prime (11031100021).

It can be written as a sum of positive squares in 4 ways, for example, as 33802596 + 10997297424 = 5814^2 + 104868^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11031099975 and 11031100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031100021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16621 + ... + 149460.

Almost surely, 2^11031100020 is an apocalyptic number.

11031100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724603204).

11031100020 is an abundant number, since it is smaller than the sum of its proper divisors (24418106388).

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

11031100020 is a wasteful number, since it uses less digits than its factorization.

11031100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166143 (or 166132 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11031100020 its reverse (2000113011), we get a palindrome (13031213031).

The spelling of 11031100020 in words is "eleven billion, thirty-one million, one hundred thousand, twenty".