130838666838031 has 32 divisors (see below), whose sum is σ = 140022900179136. Its totient is φ = 121821822720000.

The previous prime is 130838666837987. The next prime is 130838666838037.

130838666838031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 130838666838031 - 2¹⁵ = 130838666805263 is a prime.

It is a super-2 number, since 2×130838666838031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130838666838037) 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, 14712541021 + ... + 14712549913.

It is an arithmetic number, because the mean of its divisors is an integer number (4375715630598).

Almost surely, 2^{130838666838031} is an apocalyptic number.

130838666838031 is a deficient number, since it is larger than the sum of its proper divisors (9184233341105).

130838666838031 is a wasteful number, since it uses less digits than its factorization.

130838666838031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15163.

The product of its (nonzero) digits is 71663616, while the sum is 64.

The spelling of 130838666838031 in words is "one hundred thirty trillion, eight hundred thirty-eight billion, six hundred sixty-six million, eight hundred thirty-eight thousand, thirty-one".