11135138100 has 288 divisors, whose sum is σ = 35032757760. Its totient is φ = 2721600000.

The previous prime is 11135138083. The next prime is 11135138117. The reversal of 11135138100 is 183153111.

It is an interprime number because it is at equal distance from previous prime (11135138083) and next prime (11135138117).

It is a super-2 number, since 2×11135138100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44362975 + ... + 44363225.

It is an arithmetic number, because the mean of its divisors is an integer number (121641520).

Almost surely, 2^11135138100 is an apocalyptic number.

11135138100 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 11135138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516378880).

11135138100 is an abundant number, since it is smaller than the sum of its proper divisors (23897619660).

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

11135138100 is a wasteful number, since it uses less digits than its factorization.

11135138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 11135138100 in words is "eleven billion, one hundred thirty-five million, one hundred thirty-eight thousand, one hundred".