101124310243113 has 64 divisors (see below), whose sum is σ = 155554464096000. Its totient is φ = 64850191322112.

The previous prime is 101124310243087. The next prime is 101124310243139. The reversal of 101124310243113 is 311342013421101.

101124310243113 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 243 + 102 + 4 + 311 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (101124310243087) and next prime (101124310243139).

It is not a de Polignac number, because 101124310243113 - 2²¹ = 101124308145961 is a prime.

It is a super-2 number, since 2×101124310243113² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101124310243183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3376761006 + ... + 3376790952.

It is an arithmetic number, because the mean of its divisors is an integer number (2430538501500).

Almost surely, 2^{101124310243113} is an apocalyptic number.

It is an amenable number.

101124310243113 is a deficient number, since it is larger than the sum of its proper divisors (54430153852887).

101124310243113 is a wasteful number, since it uses less digits than its factorization.

101124310243113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45831 (or 45825 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101124310243113 its reverse (311342013421101), we get a palindrome (412466323664214).

The spelling of 101124310243113 in words is "one hundred one trillion, one hundred twenty-four billion, three hundred ten million, two hundred forty-three thousand, one hundred thirteen".