133010031000 has 512 divisors, whose sum is σ = 522606090240. Its totient is φ = 27360000000.

The previous prime is 133010030999. The next prime is 133010031017. The reversal of 133010031000 is 130010331.

It is a super-2 number, since 2×133010031000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23328150 + ... + 23333850.

It is an arithmetic number, because the mean of its divisors is an integer number (1020715020).

Almost surely, 2^133010031000 is an apocalyptic number.

133010031000 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 133010031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261303045120).

133010031000 is an abundant number, since it is smaller than the sum of its proper divisors (389596059240).

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

133010031000 is a wasteful number, since it uses less digits than its factorization.

133010031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 133010031000 its reverse (130010331), we get a palindrome (133140041331).

The spelling of 133010031000 in words is "one hundred thirty-three billion, ten million, thirty-one thousand".