133330131000 has 640 divisors, whose sum is σ = 512315781120. Its totient is φ = 32076000000.

The previous prime is 133330130987. The next prime is 133330131013. The reversal of 133330131000 is 131033331.

133330131000 is a `hidden beast` number, since 1 + 333 + 301 + 31 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133330130987) and next prime (133330131013).

It is a super-2 number, since 2×133330131000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134540505 + ... + 134541495.

It is an arithmetic number, because the mean of its divisors is an integer number (800493408).

Almost surely, 2^133330131000 is an apocalyptic number.

133330131000 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 133330131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256157890560).

133330131000 is an abundant number, since it is smaller than the sum of its proper divisors (378985650120).

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

133330131000 is a wasteful number, since it uses less digits than its factorization.

133330131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133330131000 its reverse (131033331), we get a palindrome (133461164331).

The spelling of 133330131000 in words is "one hundred thirty-three billion, three hundred thirty million, one hundred thirty-one thousand".