13011133100 has 144 divisors (see below), whose sum is σ = 33046593216. Its totient is φ = 4354560000.

The previous prime is 13011133013. The next prime is 13011133103. The reversal of 13011133100 is 133111031.

It is a happy number.

It is a super-2 number, since 2×13011133100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13011133103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5159840 + ... + 5162360.

Almost surely, 2^13011133100 is an apocalyptic number.

13011133100 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 13011133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523296608).

13011133100 is an abundant number, since it is smaller than the sum of its proper divisors (20035460116).

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

13011133100 is a wasteful number, since it uses less digits than its factorization.

13011133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13011133100 its reverse (133111031), we get a palindrome (13144244131).

The spelling of 13011133100 in words is "thirteen billion, eleven million, one hundred thirty-three thousand, one hundred".