133114331021400 has 192 divisors, whose sum is σ = 470896943479200. Its totient is φ = 34537772321280.

The previous prime is 133114331021389. The next prime is 133114331021423. The reversal of 133114331021400 is 4120133411331.

133114331021400 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 433 + 10 + 214 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332919147 + ... + 333318746.

Almost surely, 2^{133114331021400} is an apocalyptic number.

133114331021400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133114331021400 is an abundant number, since it is smaller than the sum of its proper divisors (337782612457800).

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

133114331021400 is a wasteful number, since it uses less digits than its factorization.

133114331021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666237955 (or 666237940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133114331021400 its reverse (4120133411331), we get a palindrome (137234464432731).

The spelling of 133114331021400 in words is "one hundred thirty-three trillion, one hundred fourteen billion, three hundred thirty-one million, twenty-one thousand, four hundred".