1035440135313 has 8 divisors (see below), whose sum is σ = 1453249312800. Its totient is φ = 653962190688.

The previous prime is 1035440135281. The next prime is 1035440135329. The reversal of 1035440135313 is 3135310445301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1035440135313 - 2⁵ = 1035440135281 is a prime.

It is a super-3 number, since 3×1035440135313³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1035440135813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9082808148 + ... + 9082808261.

It is an arithmetic number, because the mean of its divisors is an integer number (181656164100).

Almost surely, 2^{1035440135313} is an apocalyptic number.

It is an amenable number.

1035440135313 is a deficient number, since it is larger than the sum of its proper divisors (417809177487).

1035440135313 is a wasteful number, since it uses less digits than its factorization.

1035440135313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165616431.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 1035440135313 in words is "one trillion, thirty-five billion, four hundred forty million, one hundred thirty-five thousand, three hundred thirteen".