101320010311 has 16 divisors (see below), whose sum is σ = 113912013600. Its totient is φ = 89472636288.

The previous prime is 101320010263. The next prime is 101320010327. The reversal of 101320010311 is 113010023101.

It is a cyclic number.

It is not a de Polignac number, because 101320010311 - 2¹¹ = 101320008263 is a prime.

It is a super-2 number, since 2×101320010311² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101320010291 and 101320010300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320016311) 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 15 ways as a sum of consecutive naturals, for example, 1191721 + ... + 1273906.

It is an arithmetic number, because the mean of its divisors is an integer number (7119500850).

Almost surely, 2^101320010311 is an apocalyptic number.

101320010311 is a deficient number, since it is larger than the sum of its proper divisors (12592003289).

101320010311 is a wasteful number, since it uses less digits than its factorization.

101320010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465778.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101320010311 its reverse (113010023101), we get a palindrome (214330033412).

The spelling of 101320010311 in words is "one hundred one billion, three hundred twenty million, ten thousand, three hundred eleven".