133014321311400 has 144 divisors (see below), whose sum is σ = 446863130432160. Its totient is φ = 35458042896000.

The previous prime is 133014321311371. The next prime is 133014321311419. The reversal of 133014321311400 is 4113123410331.

133014321311400 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 43 + 213 + 1 + 1 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7828012 + ... + 18091611.

Almost surely, 2^{133014321311400} is an apocalyptic number.

133014321311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133014321311400 is an abundant number, since it is smaller than the sum of its proper divisors (313848809120760).

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

133014321311400 is a wasteful number, since it uses less digits than its factorization.

133014321311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25922496 (or 25922484 counting only the distinct ones).

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

Adding to 133014321311400 its reverse (4113123410331), we get a palindrome (137127444721731).

The spelling of 133014321311400 in words is "one hundred thirty-three trillion, fourteen billion, three hundred twenty-one million, three hundred eleven thousand, four hundred".