10019833129691 has 32 divisors (see below), whose sum is σ = 12503598981120. Its totient is φ = 7800577984800.

The previous prime is 10019833129643. The next prime is 10019833129693. The reversal of 10019833129691 is 19692133891001.

10019833129691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10019833129691 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10019833129693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524946350 + ... + 524965436.

It is an arithmetic number, because the mean of its divisors is an integer number (390737468160).

Almost surely, 2^{10019833129691} is an apocalyptic number.

10019833129691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10019833129691 is a deficient number, since it is larger than the sum of its proper divisors (2483765851429).

10019833129691 is a wasteful number, since it uses less digits than its factorization.

10019833129691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24935.

The product of its (nonzero) digits is 629856, while the sum is 53.

Adding to 10019833129691 its sum of digits (53), we get a square (10019833129744 = 3165412²).

The spelling of 10019833129691 in words is "ten trillion, nineteen billion, eight hundred thirty-three million, one hundred twenty-nine thousand, six hundred ninety-one".