11023011130032 has 480 divisors, whose sum is σ = 35639818905600. Its totient is φ = 3145344307200.

The previous prime is 11023011130031. The next prime is 11023011130111. The reversal of 11023011130032 is 23003111032011.

It is a super-2 number, since 2×11023011130032² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11023011129987 and 11023011130014.

It is not an unprimeable number, because it can be changed into a prime (11023011130031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7442950732 + ... + 7442952212.

It is an arithmetic number, because the mean of its divisors is an integer number (74249622720).

Almost surely, 2^{11023011130032} is an apocalyptic number.

11023011130032 is a gapful number since it is divisible by the number (12) 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 11023011130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819909452800).

11023011130032 is an abundant number, since it is smaller than the sum of its proper divisors (24616807775568).

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

11023011130032 is a wasteful number, since it uses less digits than its factorization.

11023011130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11023011130032 its reverse (23003111032011), we get a palindrome (34026122162043).

The spelling of 11023011130032 in words is "eleven trillion, twenty-three billion, eleven million, one hundred thirty thousand, thirty-two".