133131414300552 has 96 divisors (see below), whose sum is σ = 360923120157600. Its totient is φ = 44332975924992.

The previous prime is 133131414300517. The next prime is 133131414300559. The reversal of 133131414300552 is 255003414131331.

133131414300552 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 31 + 41 + 4 + 30 + 0 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133131414300559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041498099 + ... + 1041625917.

It is an arithmetic number, because the mean of its divisors is an integer number (3759615834975).

Almost surely, 2^{133131414300552} is an apocalyptic number.

133131414300552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133131414300552 is an abundant number, since it is smaller than the sum of its proper divisors (227791705857048).

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

133131414300552 is a wasteful number, since it uses less digits than its factorization.

133131414300552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142115 (or 142108 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 133131414300552 its reverse (255003414131331), we get a palindrome (388134828431883).

The spelling of 133131414300552 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, four hundred fourteen million, three hundred thousand, five hundred fifty-two".