133012134142100 has 18 divisors (see below), whose sum is σ = 288636331088574. Its totient is φ = 53204853656800.

The previous prime is 133012134142003. The next prime is 133012134142169. The reversal of 133012134142100 is 1241431210331.

It can be written as a sum of positive squares in 3 ways, for example, as 6235388549776 + 126776745592324 = 2497076^2 + 11259518^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133012134142100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665060670611 + ... + 665060670810.

It is an arithmetic number, because the mean of its divisors is an integer number (16035351727143).

Almost surely, 2^{133012134142100} is an apocalyptic number.

133012134142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133012134142100 is an abundant number, since it is smaller than the sum of its proper divisors (155624196946474).

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

133012134142100 is a wasteful number, since it uses less digits than its factorization.

133012134142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330121341435 (or 1330121341428 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 133012134142100 its reverse (1241431210331), we get a palindrome (134253565352431).

The spelling of 133012134142100 in words is "one hundred thirty-three trillion, twelve billion, one hundred thirty-four million, one hundred forty-two thousand, one hundred".