133431310100 has 54 divisors (see below), whose sum is σ = 318261271902. Its totient is φ = 48520472000.

The previous prime is 133431310063. The next prime is 133431310121. The reversal of 133431310100 is 1013134331.

133431310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12941792644 + 120489517456 = 113762^2 + 347116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5501591 + ... + 5525790.

Almost surely, 2^133431310100 is an apocalyptic number.

133431310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133431310100 is an abundant number, since it is smaller than the sum of its proper divisors (184829961802).

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

133431310100 is a wasteful number, since it uses less digits than its factorization.

133431310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027417 (or 11027399 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133431310100 its reverse (1013134331), we get a palindrome (134444444431).

The spelling of 133431310100 in words is "one hundred thirty-three billion, four hundred thirty-one million, three hundred ten thousand, one hundred".