11013300101100 has 432 divisors, whose sum is σ = 35731148171264. Its totient is φ = 2616626073600.

The previous prime is 11013300101047. The next prime is 11013300101101. The reversal of 11013300101100 is 110100331011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11013300101101) 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, 362658117 + ... + 362688483.

Almost surely, 2^{11013300101100} is an apocalyptic number.

11013300101100 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 11013300101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865574085632).

11013300101100 is an abundant number, since it is smaller than the sum of its proper divisors (24717848070164).

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

11013300101100 is a wasteful number, since it uses less digits than its factorization.

11013300101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30606 (or 30588 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11013300101100 its reverse (110100331011), we get a palindrome (11123400432111).

The spelling of 11013300101100 in words is "eleven trillion, thirteen billion, three hundred million, one hundred one thousand, one hundred".