101011330113 has 16 divisors (see below), whose sum is σ = 138977407296. Its totient is φ = 65210322240.

The previous prime is 101011330111. The next prime is 101011330117. The reversal of 101011330113 is 311033110101.

It is not a de Polignac number, because 101011330113 - 2¹ = 101011330111 is a prime.

It is a super-2 number, since 2×101011330113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011330092 and 101011330101.

It is not an unprimeable number, because it can be changed into a prime (101011330111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133006 + ... + 2179847.

It is an arithmetic number, because the mean of its divisors is an integer number (8686087956).

Almost surely, 2^101011330113 is an apocalyptic number.

It is an amenable number.

101011330113 is a deficient number, since it is larger than the sum of its proper divisors (37966077183).

101011330113 is a wasteful number, since it uses less digits than its factorization.

101011330113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313104.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101011330113 its reverse (311033110101), we get a palindrome (412044440214).

The spelling of 101011330113 in words is "one hundred one billion, eleven million, three hundred thirty thousand, one hundred thirteen".