101314343141 has 12 divisors (see below), whose sum is σ = 111388231500. Its totient is φ = 92082291840.

The previous prime is 101314343107. The next prime is 101314343159. The reversal of 101314343141 is 141343413101.

It can be written as a sum of positive squares in 2 ways, for example, as 29216723041 + 72097620100 = 170929^2 + 268510^2 .

It is not a de Polignac number, because 101314343141 - 2³⁴ = 84134473957 is a prime.

It is a super-2 number, since 2×101314343141² (a number of 23 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 101314343141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314343101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429965 + ... + 622493.

It is an arithmetic number, because the mean of its divisors is an integer number (9282352625).

Almost surely, 2^101314343141 is an apocalyptic number.

101314343141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101314343141 is a deficient number, since it is larger than the sum of its proper divisors (10073888359).

101314343141 is a wasteful number, since it uses less digits than its factorization.

101314343141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196900 (or 196889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101314343141 its reverse (141343413101), we get a palindrome (242657756242).

The spelling of 101314343141 in words is "one hundred one billion, three hundred fourteen million, three hundred forty-three thousand, one hundred forty-one".