101331130310311 has 8 divisors (see below), whose sum is σ = 110798346983184. Its totient is φ = 91906462926720.

The previous prime is 101331130310273. The next prime is 101331130310357. The reversal of 101331130310311 is 113013031133101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101331130310311 - 2¹³ = 101331130302119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331130350311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10637317336 + ... + 10637326861.

It is an arithmetic number, because the mean of its divisors is an integer number (13849793372898).

Almost surely, 2^{101331130310311} is an apocalyptic number.

101331130310311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101331130310311 is a deficient number, since it is larger than the sum of its proper divisors (9467216672873).

101331130310311 is a wasteful number, since it uses less digits than its factorization.

101331130310311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21274644641.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 101331130310311 its reverse (113013031133101), we get a palindrome (214344161443412).

The spelling of 101331130310311 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty million, three hundred ten thousand, three hundred eleven".