1013310133101 has 12 divisors (see below), whose sum is σ = 1672765934112. Its totient is φ = 579034361736.

The previous prime is 1013310133063. The next prime is 1013310133103.

1013310133101 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 0 + 1 + 331 + 0 + 1 = 666.

1013310133101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1013310133101 - 2⁹ = 1013310132589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013310133103) 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, 8042143851 + ... + 8042143976.

It is an arithmetic number, because the mean of its divisors is an integer number (139397161176).

Almost surely, 2^{1013310133101} is an apocalyptic number.

It is an amenable number.

1013310133101 is a deficient number, since it is larger than the sum of its proper divisors (659455801011).

1013310133101 is a wasteful number, since it uses less digits than its factorization.

1013310133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084287840 (or 16084287837 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1013310 and 133101, that added together give a palindrome (1146411).

The spelling of 1013310133101 in words is "one trillion, thirteen billion, three hundred ten million, one hundred thirty-three thousand, one hundred one".