10101313011413 has 16 divisors (see below), whose sum is σ = 10987906667136. Its totient is φ = 9230403470400.

The previous prime is 10101313011341. The next prime is 10101313011457. The reversal of 10101313011413 is 31411031310101.

It is a cyclic number.

It is not a de Polignac number, because 10101313011413 - 2²⁶ = 10101245902549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101313011613) 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, 7127456 + ... + 8426342.

It is an arithmetic number, because the mean of its divisors is an integer number (686744166696).

Almost surely, 2^{10101313011413} is an apocalyptic number.

10101313011413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10101313011413 is a deficient number, since it is larger than the sum of its proper divisors (886593655723).

10101313011413 is a wasteful number, since it uses less digits than its factorization.

10101313011413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304924.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10101313011413 its reverse (31411031310101), we get a palindrome (41512344321514).

The spelling of 10101313011413 in words is "ten trillion, one hundred one billion, three hundred thirteen million, eleven thousand, four hundred thirteen".