133213113000000 has 1568 divisors, whose sum is σ = 536103000293760. Its totient is φ = 32168448000000.

The previous prime is 133213112999963. The next prime is 133213113000017. The reversal of 133213113000000 is 311312331.

It is a happy number.

133213113000000 is a `hidden beast` number, since 1 + 3 + 321 + 311 + 30 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 92960999284 + ... + 92961000716.

Almost surely, 2^{133213113000000} is an apocalyptic number.

133213113000000 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 133213113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268051500146880).

133213113000000 is an abundant number, since it is smaller than the sum of its proper divisors (402889887293760).

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

133213113000000 is an equidigital number, since it uses as much as digits as its factorization.

133213113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133213113000000 its reverse (311312331), we get a palindrome (133213424312331).

The spelling of 133213113000000 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred thirteen million", and thus it is an aban number.