133200101001113 has 12 divisors (see below), whose sum is σ = 143385359436540. Its totient is φ = 123309640212480.

The previous prime is 133200101001101. The next prime is 133200101001151. The reversal of 133200101001113 is 311100101002331.

It can be written as a sum of positive squares in 6 ways, for example, as 50008700452489 + 83191400548624 = 7071683^2 + 9120932^2 .

It is not a de Polignac number, because 133200101001113 - 2¹² = 133200100997017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133200101001091 and 133200101001100.

It is not an unprimeable number, because it can be changed into a prime (133200101001193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052785448 + ... + 1052911961.

It is an arithmetic number, because the mean of its divisors is an integer number (11948779953045).

Almost surely, 2^{133200101001113} is an apocalyptic number.

It is an amenable number.

133200101001113 is a deficient number, since it is larger than the sum of its proper divisors (10185258435427).

133200101001113 is an equidigital number, since it uses as much as digits as its factorization.

133200101001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105697548 (or 2105697487 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 133200101001113 its reverse (311100101002331), we get a palindrome (444300202003444).

The spelling of 133200101001113 in words is "one hundred thirty-three trillion, two hundred billion, one hundred one million, one thousand, one hundred thirteen".