133312095000 has 640 divisors, whose sum is σ = 539827200000. Its totient is φ = 30460752000.

The previous prime is 133312094999. The next prime is 133312095001. The reversal of 133312095000 is 590213331.

It is a happy number.

133312095000 is a `hidden beast` number, since 1 + 3 + 33 + 120 + 9 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133312094999) and next prime (133312095001).

It is a super-2 number, since 2×133312095000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312095001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46303561 + ... + 46306439.

It is an arithmetic number, because the mean of its divisors is an integer number (843480000).

Almost surely, 2^133312095000 is an apocalyptic number.

133312095000 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 133312095000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269913600000).

133312095000 is an abundant number, since it is smaller than the sum of its proper divisors (406515105000).

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

133312095000 is an equidigital number, since it uses as much as digits as its factorization.

133312095000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 133312095000 in words is "one hundred thirty-three billion, three hundred twelve million, ninety-five thousand".