1013101111013 has 8 divisors (see below), whose sum is σ = 1013554620000. Its totient is φ = 1012647683248.

The previous prime is 1013101111007. The next prime is 1013101111069. The reversal of 1013101111013 is 3101111013101.

1013101111013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013101111013 - 2¹⁰ = 1013101109989 is a prime.

It is a super-2 number, since 2×1013101111013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013101111613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45319763 + ... + 45342111.

It is an arithmetic number, because the mean of its divisors is an integer number (126694327500).

Almost surely, 2^{1013101111013} is an apocalyptic number.

It is an amenable number.

1013101111013 is a deficient number, since it is larger than the sum of its proper divisors (453508987).

1013101111013 is a wasteful number, since it uses less digits than its factorization.

1013101111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40611.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1013101111013 its reverse (3101111013101), we get a palindrome (4114212124114).

It can be divided in two parts, 101 and 3101111013, that multiplied together give a palindrome (313212212313).

The spelling of 1013101111013 in words is "one trillion, thirteen billion, one hundred one million, one hundred eleven thousand, thirteen".