1135513514300 has 144 divisors (see below), whose sum is σ = 2730492737280. Its totient is φ = 406407936000.

The previous prime is 1135513514299. The next prime is 1135513514309. The reversal of 1135513514300 is 34153155311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135513514309) 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, 97204460 + ... + 97216140.

It is an arithmetic number, because the mean of its divisors is an integer number (18961755120).

Almost surely, 2^{1135513514300} is an apocalyptic number.

1135513514300 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 1135513514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365246368640).

1135513514300 is an abundant number, since it is smaller than the sum of its proper divisors (1594979222980).

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

1135513514300 is a wasteful number, since it uses less digits than its factorization.

1135513514300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13092 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 1135513514300 its reverse (34153155311), we get a palindrome (1169666669611).

The spelling of 1135513514300 in words is "one trillion, one hundred thirty-five billion, five hundred thirteen million, five hundred fourteen thousand, three hundred".