1013120302113 has 48 divisors (see below), whose sum is σ = 1583920578240. Its totient is φ = 621689637888.

The previous prime is 1013120302093. The next prime is 1013120302127. The reversal of 1013120302113 is 3112030213101.

It is not a de Polignac number, because 1013120302113 - 2¹⁶ = 1013120236577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013120300113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069381 + ... + 1780397.

It is an arithmetic number, because the mean of its divisors is an integer number (32998345380).

Almost surely, 2^{1013120302113} is an apocalyptic number.

It is an amenable number.

1013120302113 is a deficient number, since it is larger than the sum of its proper divisors (570800276127).

1013120302113 is a wasteful number, since it uses less digits than its factorization.

1013120302113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711246 (or 711243 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013120302113 its reverse (3112030213101), we get a palindrome (4125150515214).

The spelling of 1013120302113 in words is "one trillion, thirteen billion, one hundred twenty million, three hundred two thousand, one hundred thirteen".