131101120101311 has 8 divisors (see below), whose sum is σ = 137295035843424. Its totient is φ = 124948359946080.

The previous prime is 131101120101283. The next prime is 131101120101317. The reversal of 131101120101311 is 113101021101131.

It is a happy number.

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

It is not a de Polignac number, because 131101120101311 - 2³⁴ = 131083940232127 is a prime.

It is a super-2 number, since 2×131101120101311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131101120101311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101120101317) 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, 10288890200 + ... + 10288902941.

It is an arithmetic number, because the mean of its divisors is an integer number (17161879480428).

Almost surely, 2^{131101120101311} is an apocalyptic number.

131101120101311 is a deficient number, since it is larger than the sum of its proper divisors (6193915742113).

131101120101311 is a wasteful number, since it uses less digits than its factorization.

131101120101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20577793441.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 131101120101311 its reverse (113101021101131), we get a palindrome (244202141202442).

The spelling of 131101120101311 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred twenty million, one hundred one thousand, three hundred eleven".