101301040113 has 192 divisors, whose sum is σ = 179116277760. Its totient is φ = 49550911488.

The previous prime is 101301040109. The next prime is 101301040117. The reversal of 101301040113 is 311040103101.

It is an interprime number because it is at equal distance from previous prime (101301040109) and next prime (101301040117).

It is not a de Polignac number, because 101301040113 - 2² = 101301040109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101301040092 and 101301040101.

It is not an unprimeable number, because it can be changed into a prime (101301040117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1282291608 + ... + 1282291686.

It is an arithmetic number, because the mean of its divisors is an integer number (932897280).

Almost surely, 2^101301040113 is an apocalyptic number.

101301040113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101301040113 is a deficient number, since it is larger than the sum of its proper divisors (77815237647).

101301040113 is a wasteful number, since it uses less digits than its factorization.

101301040113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101301040113 its reverse (311040103101), we get a palindrome (412341143214).

The spelling of 101301040113 in words is "one hundred one billion, three hundred one million, forty thousand, one hundred thirteen".