1010103131999 has 32 divisors (see below), whose sum is σ = 1118485368000. Its totient is φ = 906576675840.

The previous prime is 1010103131987. The next prime is 1010103132097. The reversal of 1010103131999 is 9991313010101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010103131999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010103131909) 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, 17495219 + ... + 17552859.

It is an arithmetic number, because the mean of its divisors is an integer number (34952667750).

Almost surely, 2^{1010103131999} is an apocalyptic number.

1010103131999 is a deficient number, since it is larger than the sum of its proper divisors (108382236001).

1010103131999 is a wasteful number, since it uses less digits than its factorization.

1010103131999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57995.

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 1010103131999 in words is "one trillion, ten billion, one hundred three million, one hundred thirty-one thousand, nine hundred ninety-nine".