133014141000 has 384 divisors, whose sum is σ = 485191455840. Its totient is φ = 32673024000.

The previous prime is 133014140999. The next prime is 133014141023. The reversal of 133014141000 is 141410331.

It can be written as a sum of positive squares in 16 ways, for example, as 84824232516 + 48189908484 = 291246^2 + 219522^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 76400130 + ... + 76401870.

Almost surely, 2^133014141000 is an apocalyptic number.

133014141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133014141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242595727920).

133014141000 is an abundant number, since it is smaller than the sum of its proper divisors (352177314840).

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

133014141000 is a wasteful number, since it uses less digits than its factorization.

133014141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133014141000 its reverse (141410331), we get a palindrome (133155551331).

The spelling of 133014141000 in words is "one hundred thirty-three billion, fourteen million, one hundred forty-one thousand".