10101120131311 has 8 divisors (see below), whose sum is σ = 11374868418048. Its totient is φ = 8886615951000.

The previous prime is 10101120131303. The next prime is 10101120131339. The reversal of 10101120131311 is 11313102110101.

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 10101120131311 - 2³ = 10101120131303 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 (10101120131911) 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, 14811026245 + ... + 14811026926.

It is an arithmetic number, because the mean of its divisors is an integer number (1421858552256).

Almost surely, 2^{10101120131311} is an apocalyptic number.

10101120131311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10101120131311 is a deficient number, since it is larger than the sum of its proper divisors (1273748286737).

10101120131311 is a wasteful number, since it uses less digits than its factorization.

10101120131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29622053213.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10101120131311 its reverse (11313102110101), we get a palindrome (21414222241412).

The spelling of 10101120131311 in words is "ten trillion, one hundred one billion, one hundred twenty million, one hundred thirty-one thousand, three hundred eleven".