11132100030030 has 128 divisors (see below), whose sum is σ = 31251339288576. Its totient is φ = 2484710121600.

The previous prime is 11132100030017. The next prime is 11132100030041. The reversal of 11132100030030 is 3003000123111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11132100029991 and 11132100030009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38060245 + ... + 38351615.

It is an arithmetic number, because the mean of its divisors is an integer number (244151088192).

Almost surely, 2^{11132100030030} is an apocalyptic number.

11132100030030 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 11132100030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625669644288).

11132100030030 is an abundant number, since it is smaller than the sum of its proper divisors (20119239258546).

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

11132100030030 is a wasteful number, since it uses less digits than its factorization.

11132100030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295662.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11132100030030 its reverse (3003000123111), we get a palindrome (14135100153141).

The spelling of 11132100030030 in words is "eleven trillion, one hundred thirty-two billion, one hundred million, thirty thousand, thirty".