130019638833 has 192 divisors, whose sum is σ = 244232651520. Its totient is φ = 67889332224.

The previous prime is 130019638831. The next prime is 130019638843. The reversal of 130019638833 is 338836910031.

130019638833 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 9 + 638 + 8 + 3 + 3 = 666.

It is not a de Polignac number, because 130019638833 - 2¹ = 130019638831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130019638831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225337041 + ... + 225337617.

It is an arithmetic number, because the mean of its divisors is an integer number (1272045060).

Almost surely, 2^130019638833 is an apocalyptic number.

It is an amenable number.

130019638833 is a deficient number, since it is larger than the sum of its proper divisors (114213012687).

130019638833 is a wasteful number, since it uses less digits than its factorization.

130019638833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 130019638833 in words is "one hundred thirty billion, nineteen million, six hundred thirty-eight thousand, eight hundred thirty-three".