1135145020113 has 24 divisors (see below), whose sum is σ = 1771020910568. Its totient is φ = 696477906432.

The previous prime is 1135145020103. The next prime is 1135145020123. The reversal of 1135145020113 is 3110205415311.

1135145020113 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 450 + 201 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1135145020103) and next prime (1135145020123).

It can be written as a sum of positive squares in 4 ways, for example, as 85151325249 + 1049993694864 = 291807^2 + 1024692^2 .

It is not a de Polignac number, because 1135145020113 - 2⁶ = 1135145020049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135145020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14355370 + ... + 14434227.

Almost surely, 2^{1135145020113} is an apocalyptic number.

1135145020113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1135145020113 is a deficient number, since it is larger than the sum of its proper divisors (635875890455).

1135145020113 is a wasteful number, since it uses less digits than its factorization.

1135145020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28789953 (or 28789950 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1135145020113 in words is "one trillion, one hundred thirty-five billion, one hundred forty-five million, twenty thousand, one hundred thirteen".