13300131000100 has 108 divisors (see below), whose sum is σ = 34731032110740. Its totient is φ = 4402801939200.

The previous prime is 13300131000067. The next prime is 13300131000103. The reversal of 13300131000100 is 100013100331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2669714173476 + 10630416826624 = 1633926^2 + 3260432^2 .

It is not an unprimeable number, because it can be changed into a prime (13300131000103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46656391 + ... + 46940590.

It is an arithmetic number, because the mean of its divisors is an integer number (321583630655).

Almost surely, 2^{13300131000100} is an apocalyptic number.

13300131000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300131000100 is an abundant number, since it is smaller than the sum of its proper divisors (21430901110640).

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

13300131000100 is a wasteful number, since it uses less digits than its factorization.

13300131000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93597038 (or 93597024 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13300131000100 its reverse (100013100331), we get a palindrome (13400144100431).

The spelling of 13300131000100 in words is "thirteen trillion, three hundred billion, one hundred thirty-one million, one hundred", and thus it is an aban number.