1135035133100 has 108 divisors (see below), whose sum is σ = 2710959898920. Its totient is φ = 409082419200.

The previous prime is 1135035133091. The next prime is 1135035133139. The reversal of 1135035133100 is 13315305311.

It is a super-2 number, since 2×1135035133100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1135035133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14005496 + ... + 14086304.

Almost surely, 2^{1135035133100} is an apocalyptic number.

1135035133100 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 1135035133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355479949460).

1135035133100 is an abundant number, since it is smaller than the sum of its proper divisors (1575924765820).

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

1135035133100 is a wasteful number, since it uses less digits than its factorization.

1135035133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81060 (or 80940 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

The spelling of 1135035133100 in words is "one trillion, one hundred thirty-five billion, thirty-five million, one hundred thirty-three thousand, one hundred".