13142205300 has 144 divisors (see below), whose sum is σ = 46013304960. Its totient is φ = 2827223040.

The previous prime is 13142205287. The next prime is 13142205301. The reversal of 13142205300 is 350224131.

13142205300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142205301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148365 + ... + 219764.

It is an arithmetic number, because the mean of its divisors is an integer number (319536840).

Almost surely, 2^13142205300 is an apocalyptic number.

13142205300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142205300 is an abundant number, since it is smaller than the sum of its proper divisors (32871099660).

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

13142205300 is a wasteful number, since it uses less digits than its factorization.

13142205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368170 (or 368163 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 13142205300 its reverse (350224131), we get a palindrome (13492429431).

The spelling of 13142205300 in words is "thirteen billion, one hundred forty-two million, two hundred five thousand, three hundred".