101002300031113 has 16 divisors (see below), whose sum is σ = 109834740288000. Its totient is φ = 92321836899264.

The previous prime is 101002300031093. The next prime is 101002300031207. The reversal of 101002300031113 is 311130003200101.

It is a cyclic number.

It is not a de Polignac number, because 101002300031113 - 2¹⁷ = 101002299900041 is a prime.

It is a super-2 number, since 2×101002300031113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101002300031813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18693120 + ... + 23482702.

It is an arithmetic number, because the mean of its divisors is an integer number (6864671268000).

Almost surely, 2^{101002300031113} is an apocalyptic number.

101002300031113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101002300031113 is a deficient number, since it is larger than the sum of its proper divisors (8832440256887).

101002300031113 is a wasteful number, since it uses less digits than its factorization.

101002300031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805448.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101002300031113 its reverse (311130003200101), we get a palindrome (412132303231214).

The spelling of 101002300031113 in words is "one hundred one trillion, two billion, three hundred million, thirty-one thousand, one hundred thirteen".