1013123531205 has 48 divisors (see below), whose sum is σ = 1758337701120. Its totient is φ = 539638588800.

The previous prime is 1013123531177. The next prime is 1013123531213. The reversal of 1013123531205 is 5021353213101.

1013123531205 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 123 + 531 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 1013123531205 - 2⁶ = 1013123531141 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205457590 + ... + 205462520.

It is an arithmetic number, because the mean of its divisors is an integer number (36632035440).

Almost surely, 2^{1013123531205} is an apocalyptic number.

1013123531205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013123531205 is a deficient number, since it is larger than the sum of its proper divisors (745214169915).

1013123531205 is a wasteful number, since it uses less digits than its factorization.

1013123531205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1013123531205 its reverse (5021353213101), we get a palindrome (6034476744306).

The spelling of 1013123531205 in words is "one trillion, thirteen billion, one hundred twenty-three million, five hundred thirty-one thousand, two hundred five".