101311141141 has 6 divisors (see below), whose sum is σ = 117851735670. Its totient is φ = 86838120936.

The previous prime is 101311141133. The next prime is 101311141157. The reversal of 101311141141 is 141141113101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97075864900 + 4235276241 = 311570^2 + 65079^2 .

It is not a de Polignac number, because 101311141141 - 2³ = 101311141133 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 (101311141121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1033787106 + ... + 1033787203.

It is an arithmetic number, because the mean of its divisors is an integer number (19641955945).

Almost surely, 2^101311141141 is an apocalyptic number.

It is an amenable number.

101311141141 is a deficient number, since it is larger than the sum of its proper divisors (16540594529).

101311141141 is an equidigital number, since it uses as much as digits as its factorization.

101311141141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067574323 (or 2067574316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 101311141141 its reverse (141141113101), we get a palindrome (242452254242).

The spelling of 101311141141 in words is "one hundred one billion, three hundred eleven million, one hundred forty-one thousand, one hundred forty-one".