1013101310101 has 16 divisors (see below), whose sum is σ = 1030831401600. Its totient is φ = 995550775488.

The previous prime is 1013101310099. The next prime is 1013101310107. The reversal of 1013101310101 is 1010131013101.

1013101310101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1013101310101 - 2¹ = 1013101310099 is a prime.

It is a super-3 number, since 3×1013101310101³ (a number of 37 digits) contains 333 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 (1013101310107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8063995 + ... + 8188663.

It is an arithmetic number, because the mean of its divisors is an integer number (64426962600).

Almost surely, 2^{1013101310101} is an apocalyptic number.

It is an amenable number.

1013101310101 is a deficient number, since it is larger than the sum of its proper divisors (17730091499).

1013101310101 is a wasteful number, since it uses less digits than its factorization.

1013101310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125388.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1013101310101 its reverse (1010131013101), we get a palindrome (2023232323202).

The spelling of 1013101310101 in words is "one trillion, thirteen billion, one hundred one million, three hundred ten thousand, one hundred one".