133142104100 has 36 divisors (see below), whose sum is σ = 289093088004. Its totient is φ = 53224634880.

The previous prime is 133142104099. The next prime is 133142104103. The reversal of 133142104100 is 1401241331.

It can be written as a sum of positive squares in 6 ways, for example, as 26782631716 + 106359472384 = 163654^2 + 326128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133142104103) 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, 236057 + ... + 567456.

Almost surely, 2^133142104100 is an apocalyptic number.

133142104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133142104100 is an abundant number, since it is smaller than the sum of its proper divisors (155950983904).

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

133142104100 is a wasteful number, since it uses less digits than its factorization.

133142104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805184 (or 805177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 133142104100 its reverse (1401241331), we get a palindrome (134543345431).

The spelling of 133142104100 in words is "one hundred thirty-three billion, one hundred forty-two million, one hundred four thousand, one hundred".