101353114330311 has 64 divisors (see below), whose sum is σ = 146892860812800. Its totient is φ = 61923131314176.

The previous prime is 101353114330309. The next prime is 101353114330313. The reversal of 101353114330311 is 113033411353101.

It is an interprime number because it is at equal distance from previous prime (101353114330309) and next prime (101353114330313).

It is not a de Polignac number, because 101353114330311 - 2¹ = 101353114330309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101353114330313) 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, 2791079091 + ... + 2791115403.

It is an arithmetic number, because the mean of its divisors is an integer number (2295200950200).

Almost surely, 2^{101353114330311} is an apocalyptic number.

101353114330311 is a deficient number, since it is larger than the sum of its proper divisors (45539746482489).

101353114330311 is a wasteful number, since it uses less digits than its factorization.

101353114330311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45168.

The product of its (nonzero) digits is 4860, while the sum is 30.

Adding to 101353114330311 its reverse (113033411353101), we get a palindrome (214386525683412).

The spelling of 101353114330311 in words is "one hundred one trillion, three hundred fifty-three billion, one hundred fourteen million, three hundred thirty thousand, three hundred eleven".