101331313103311 has 32 divisors (see below), whose sum is σ = 108331792416000. Its totient is φ = 94621388779008.

The previous prime is 101331313103297. The next prime is 101331313103323. The reversal of 101331313103311 is 113301313133101.

It is a cyclic number.

It is not a de Polignac number, because 101331313103311 - 2¹⁹ = 101331312579023 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 (101331313113311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73751605 + ... + 75112993.

It is an arithmetic number, because the mean of its divisors is an integer number (3385368513000).

Almost surely, 2^{101331313103311} is an apocalyptic number.

101331313103311 is a deficient number, since it is larger than the sum of its proper divisors (7000479312689).

101331313103311 is a wasteful number, since it uses less digits than its factorization.

101331313103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362163.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 101331313103311 its reverse (113301313133101), we get a palindrome (214632626236412).

The spelling of 101331313103311 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred three thousand, three hundred eleven".