1135345214130 has 128 divisors (see below), whose sum is σ = 2968260940800. Its totient is φ = 276829459200.

The previous prime is 1135345214093. The next prime is 1135345214141. The reversal of 1135345214130 is 314125435311.

It is a super-3 number, since 3×1135345214130³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1135345214091 and 1135345214100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49760425 + ... + 49783235.

It is an arithmetic number, because the mean of its divisors is an integer number (23189538600).

Almost surely, 2^{1135345214130} is an apocalyptic number.

1135345214130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135345214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484130470400).

1135345214130 is an abundant number, since it is smaller than the sum of its proper divisors (1832915726670).

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

1135345214130 is a wasteful number, since it uses less digits than its factorization.

1135345214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25880.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1135345214130 in words is "one trillion, one hundred thirty-five billion, three hundred forty-five million, two hundred fourteen thousand, one hundred thirty".