1013131023113 has 16 divisors (see below), whose sum is σ = 1163475023040. Its totient is φ = 872499801600.

The previous prime is 1013131023103. The next prime is 1013131023143. The reversal of 1013131023113 is 3113201313101.

It is a cyclic number.

It is not a de Polignac number, because 1013131023113 - 2⁴ = 1013131023097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013131023103) 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 15 ways as a sum of consecutive naturals, for example, 3500993 + ... + 3779313.

It is an arithmetic number, because the mean of its divisors is an integer number (72717188940).

Almost surely, 2^{1013131023113} is an apocalyptic number.

It is an amenable number.

1013131023113 is a deficient number, since it is larger than the sum of its proper divisors (150343999927).

1013131023113 is a wasteful number, since it uses less digits than its factorization.

1013131023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295768.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1013131023113 its reverse (3113201313101), we get a palindrome (4126332336214).

The spelling of 1013131023113 in words is "one trillion, thirteen billion, one hundred thirty-one million, twenty-three thousand, one hundred thirteen".