11031148128 has 864 divisors, whose sum is σ = 42703137792. Its totient is φ = 2448230400.

The previous prime is 11031148123. The next prime is 11031148133. The reversal of 11031148128 is 82184113011.

It is an interprime number because it is at equal distance from previous prime (11031148123) and next prime (11031148133).

It is a junction number, because it is equal to n+sod(n) for n = 11031148095 and 11031148104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031148123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355843473 + ... + 355843503.

It is an arithmetic number, because the mean of its divisors is an integer number (49424928).

Almost surely, 2^11031148128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351568896).

11031148128 is an abundant number, since it is smaller than the sum of its proper divisors (31671989664).

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

11031148128 is a wasteful number, since it uses less digits than its factorization.

11031148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The spelling of 11031148128 in words is "eleven billion, thirty-one million, one hundred forty-eight thousand, one hundred twenty-eight".