133012052130100 has 162 divisors, whose sum is σ = 343543226507250. Its totient is φ = 44647401427200.

The previous prime is 133012052130077. The next prime is 133012052130119. The reversal of 133012052130100 is 1031250210331.

It can be written as a sum of positive squares in 9 ways, for example, as 90523921532836 + 42488130597264 = 9514406^2 + 6518292^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30477975 + ... + 34567774.

Almost surely, 2^{133012052130100} is an apocalyptic number.

133012052130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133012052130100 is an abundant number, since it is smaller than the sum of its proper divisors (210531174377150).

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

133012052130100 is a wasteful number, since it uses less digits than its factorization.

133012052130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65045811 (or 65045780 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 133012052130100 in words is "one hundred thirty-three trillion, twelve billion, fifty-two million, one hundred thirty thousand, one hundred".