133021311000 has 256 divisors, whose sum is σ = 443489904000. Its totient is φ = 33078067200.

The previous prime is 133021310987. The next prime is 133021311013. The reversal of 133021311000 is 113120331.

It is an interprime number because it is at equal distance from previous prime (133021310987) and next prime (133021311013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5547036 + ... + 5570964.

Almost surely, 2^133021311000 is an apocalyptic number.

133021311000 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 133021311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221744952000).

133021311000 is an abundant number, since it is smaller than the sum of its proper divisors (310468593000).

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

133021311000 is a wasteful number, since it uses less digits than its factorization.

133021311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24079 (or 24065 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133021311000 its reverse (113120331), we get a palindrome (133134431331).

The spelling of 133021311000 in words is "one hundred thirty-three billion, twenty-one million, three hundred eleven thousand".