13131203342100 has 144 divisors (see below), whose sum is σ = 38099211494400. Its totient is φ = 3491868182400.

The previous prime is 13131203342021. The next prime is 13131203342113. The reversal of 13131203342100 is 124330213131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284824851 + ... + 284870949.

It is an arithmetic number, because the mean of its divisors is an integer number (264577857600).

Almost surely, 2^{13131203342100} is an apocalyptic number.

13131203342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131203342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049605747200).

13131203342100 is an abundant number, since it is smaller than the sum of its proper divisors (24968008152300).

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

13131203342100 is a wasteful number, since it uses less digits than its factorization.

13131203342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48750 (or 48743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13131203342100 its reverse (124330213131), we get a palindrome (13255533555231).

The spelling of 13131203342100 in words is "thirteen trillion, one hundred thirty-one billion, two hundred three million, three hundred forty-two thousand, one hundred".