133011001310000 has 200 divisors, whose sum is σ = 353546337319824. Its totient is φ = 48059556480000.

The previous prime is 133011001309997. The next prime is 133011001310021. The reversal of 133011001310000 is 13100110331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×133011001310000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13419074 + ... + 21120926.

Almost surely, 2^{133011001310000} is an apocalyptic number.

133011001310000 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 133011001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176773168659912).

133011001310000 is an abundant number, since it is smaller than the sum of its proper divisors (220535336009824).

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

133011001310000 is a wasteful number, since it uses less digits than its factorization.

133011001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702049 (or 7702028 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 133011001310000 its reverse (13100110331), we get a palindrome (133024101420331).

The spelling of 133011001310000 in words is "one hundred thirty-three trillion, eleven billion, one million, three hundred ten thousand".