101341314111231 has 24 divisors (see below), whose sum is σ = 146972757428640. Its totient is φ = 67288291639296.

The previous prime is 101341314111053. The next prime is 101341314111259. The reversal of 101341314111231 is 132111413143101.

101341314111231 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 1 + 314 + 111 + 231 = 666.

It is not a de Polignac number, because 101341314111231 - 2⁹ = 101341314110719 is a prime.

It is a super-2 number, since 2×101341314111231² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101341314111195 and 101341314111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101341314181231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160895 + ... + 15143231.

It is an arithmetic number, because the mean of its divisors is an integer number (6123864892860).

Almost surely, 2^{101341314111231} is an apocalyptic number.

101341314111231 is a deficient number, since it is larger than the sum of its proper divisors (45631443317409).

101341314111231 is a wasteful number, since it uses less digits than its factorization.

101341314111231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986895 (or 9986892 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 101341314111231 its reverse (132111413143101), we get a palindrome (233452727254332).

The spelling of 101341314111231 in words is "one hundred one trillion, three hundred forty-one billion, three hundred fourteen million, one hundred eleven thousand, two hundred thirty-one".