1135707034100 has 144 divisors (see below), whose sum is σ = 2639705798016. Its totient is φ = 423170880000.

The previous prime is 1135707034097. The next prime is 1135707034237. The reversal of 1135707034100 is 14307075311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14130227 + ... + 14210373.

It is an arithmetic number, because the mean of its divisors is an integer number (18331290264).

Almost surely, 2^{1135707034100} is an apocalyptic number.

1135707034100 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 1135707034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319852899008).

1135707034100 is an abundant number, since it is smaller than the sum of its proper divisors (1503998763916).

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

1135707034100 is a wasteful number, since it uses less digits than its factorization.

1135707034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80346 (or 80339 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 1135707034100 in words is "one trillion, one hundred thirty-five billion, seven hundred seven million, thirty-four thousand, one hundred".