13142324322100 has 36 divisors (see below), whose sum is σ = 30196422828684. Its totient is φ = 4947698567680.

The previous prime is 13142324322097. The next prime is 13142324322103. The reversal of 13142324322100 is 122342324131.

It is an interprime number because it is at equal distance from previous prime (13142324322097) and next prime (13142324322103).

It can be written as a sum of positive squares in 6 ways, for example, as 999692023716 + 12142632298384 = 999846^2 + 3484628^2 .

It is a super-2 number, since 2×13142324322100² (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 (13142324322103) 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, 3865387807 + ... + 3865391206.

It is an arithmetic number, because the mean of its divisors is an integer number (838789523019).

Almost surely, 2^{13142324322100} is an apocalyptic number.

13142324322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142324322100 is an abundant number, since it is smaller than the sum of its proper divisors (17054098506584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13142324322100 is a wasteful number, since it uses less digits than its factorization.

13142324322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730779044 (or 7730779037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13142324322100 its reverse (122342324131), we get a palindrome (13264666646231).

The spelling of 13142324322100 in words is "thirteen trillion, one hundred forty-two billion, three hundred twenty-four million, three hundred twenty-two thousand, one hundred".