1013114113101 has 12 divisors (see below), whose sum is σ = 1463395775712. Its totient is φ = 675405382536.

The previous prime is 1013114113073. The next prime is 1013114113133.

1013114113101 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 41 + 1 + 310 + 1 = 666.

1013114113101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1013114113101 - 2⁹ = 1013114112589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013114113301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2834320 + ... + 3171686.

It is an arithmetic number, because the mean of its divisors is an integer number (121949647976).

Almost surely, 2^{1013114113101} is an apocalyptic number.

It is an amenable number.

1013114113101 is a deficient number, since it is larger than the sum of its proper divisors (450281662611).

1013114113101 is a wasteful number, since it uses less digits than its factorization.

1013114113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671040 (or 671037 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1013114113101 in words is "one trillion, thirteen billion, one hundred fourteen million, one hundred thirteen thousand, one hundred one".