133002312000 has 448 divisors, whose sum is σ = 450876741120. Its totient is φ = 34535424000.

The previous prime is 133002311971. The next prime is 133002312013. The reversal of 133002312000 is 213200331.

It is a super-2 number, since 2×133002312000² (a number of 23 digits) contains 22 as substring.

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, 151655562 + ... + 151656438.

Almost surely, 2^133002312000 is an apocalyptic number.

133002312000 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 133002312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225438370560).

133002312000 is an abundant number, since it is smaller than the sum of its proper divisors (317874429120).

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

133002312000 is an equidigital number, since it uses as much as digits as its factorization.

133002312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 133002312000 its reverse (213200331), we get a palindrome (133215512331).

The spelling of 133002312000 in words is "one hundred thirty-three billion, two million, three hundred twelve thousand".