13142415352101 has 16 divisors (see below), whose sum is σ = 20028715008000. Its totient is φ = 7509135131568.

The previous prime is 13142415352067. The next prime is 13142415352141. The reversal of 13142415352101 is 10125351424131.

It is not a de Polignac number, because 13142415352101 - 2⁷ = 13142415351973 is a prime.

It is a super-2 number, since 2×13142415352101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142415352141) 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, 33822981 + ... + 34209338.

It is an arithmetic number, because the mean of its divisors is an integer number (1251794688000).

Almost surely, 2^{13142415352101} is an apocalyptic number.

It is an amenable number.

13142415352101 is a deficient number, since it is larger than the sum of its proper divisors (6886299655899).

13142415352101 is an equidigital number, since it uses as much as digits as its factorization.

13142415352101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68041528.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 13142415352101 its reverse (10125351424131), we get a palindrome (23267766776232).

The spelling of 13142415352101 in words is "thirteen trillion, one hundred forty-two billion, four hundred fifteen million, three hundred fifty-two thousand, one hundred one".