133143022404100 has 36 divisors (see below), whose sum is σ = 289106399107764. Its totient is φ = 53222915783680.

The previous prime is 133143022404089. The next prime is 133143022404101. The reversal of 133143022404100 is 1404220341331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 39262154466304 + 93880867937796 = 6265952^2 + 9689214^2 .

It is not an unprimeable number, because it can be changed into a prime (133143022404101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428508649 + ... + 428819248.

It is an arithmetic number, because the mean of its divisors is an integer number (8030733308549).

Almost surely, 2^{133143022404100} is an apocalyptic number.

133143022404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133143022404100 is an abundant number, since it is smaller than the sum of its proper divisors (155963376703664).

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

133143022404100 is a wasteful number, since it uses less digits than its factorization.

133143022404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857329464 (or 857329457 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 133143022404100 its reverse (1404220341331), we get a palindrome (134547242745431).

The spelling of 133143022404100 in words is "one hundred thirty-three trillion, one hundred forty-three billion, twenty-two million, four hundred four thousand, one hundred".