1000133817696 has 1152 divisors, whose sum is σ = 3559417344000. Its totient is φ = 271724544000.

The previous prime is 1000133817673. The next prime is 1000133817703. The reversal of 1000133817696 is 6967183310001.

1000133817696 is a `hidden beast` number, since 100 + 0 + 13 + 381 + 76 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2494099096 + ... + 2494099496.

It is an arithmetic number, because the mean of its divisors is an integer number (3089772000).

Almost surely, 2^{1000133817696} is an apocalyptic number.

1000133817696 is a gapful number since it is divisible by the number (16) 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 1000133817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779708672000).

1000133817696 is an abundant number, since it is smaller than the sum of its proper divisors (2559283526304).

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

1000133817696 is a wasteful number, since it uses less digits than its factorization.

1000133817696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1000133817696 in words is "one trillion, one hundred thirty-three million, eight hundred seventeen thousand, six hundred ninety-six".