3133035540063 has 240 divisors, whose sum is σ = 5711584394880. Its totient is φ = 1639417190400.

The previous prime is 3133035540007. The next prime is 3133035540067. The reversal of 3133035540063 is 3600455303313.

3133035540063 is a `hidden beast` number, since 3 + 13 + 30 + 3 + 554 + 0 + 0 + 63 = 666.

It is not a de Polignac number, because 3133035540063 - 2⁶ = 3133035539999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133035540067) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7891776981 + ... + 7891777377.

It is an arithmetic number, because the mean of its divisors is an integer number (23798268312).

Almost surely, 2^{3133035540063} is an apocalyptic number.

3133035540063 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3133035540063 is a deficient number, since it is larger than the sum of its proper divisors (2578548854817).

3133035540063 is a wasteful number, since it uses less digits than its factorization.

3133035540063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The spelling of 3133035540063 in words is "three trillion, one hundred thirty-three billion, thirty-five million, five hundred forty thousand, sixty-three".