101320311310331 has 16 divisors (see below), whose sum is σ = 103811339096064. Its totient is φ = 98860635476064.

The previous prime is 101320311310279. The next prime is 101320311310363. The reversal of 101320311310331 is 133013113023101.

It is a cyclic number.

It is not a de Polignac number, because 101320311310331 - 2¹⁰ = 101320311309307 is a prime.

It is a super-2 number, since 2×101320311310331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101320311310297 and 101320311310306.

It is not an unprimeable number, because it can be changed into a prime (101320311310391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4496405 + ... + 14928438.

It is an arithmetic number, because the mean of its divisors is an integer number (6488208693504).

Almost surely, 2^{101320311310331} is an apocalyptic number.

101320311310331 is a deficient number, since it is larger than the sum of its proper divisors (2491027785733).

101320311310331 is a wasteful number, since it uses less digits than its factorization.

101320311310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19425650.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101320311310331 its reverse (133013113023101), we get a palindrome (234333424333432).

The spelling of 101320311310331 in words is "one hundred one trillion, three hundred twenty billion, three hundred eleven million, three hundred ten thousand, three hundred thirty-one".