1013034045105 has 12 divisors (see below), whose sum is σ = 1755925678260. Its totient is φ = 540284824032.

The previous prime is 1013034045077. The next prime is 1013034045131. The reversal of 1013034045105 is 5015404303101.

It is a happy number.

1013034045105 is a `hidden beast` number, since 10 + 130 + 3 + 4 + 0 + 4 + 510 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 668615300721 + 344418744384 = 817689^2 + 586872^2 .

It is not a de Polignac number, because 1013034045105 - 2⁸ = 1013034044849 is a prime.

It is a super-2 number, since 2×1013034045105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11255933790 + ... + 11255933879.

It is an arithmetic number, because the mean of its divisors is an integer number (146327139855).

Almost surely, 2^{1013034045105} is an apocalyptic number.

1013034045105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013034045105 is a deficient number, since it is larger than the sum of its proper divisors (742891633155).

1013034045105 is a wasteful number, since it uses less digits than its factorization.

1013034045105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22511867680 (or 22511867677 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1013034045105 its reverse (5015404303101), we get a palindrome (6028438348206).

The spelling of 1013034045105 in words is "one trillion, thirteen billion, thirty-four million, forty-five thousand, one hundred five".