101344214331 has 12 divisors (see below), whose sum is σ = 146434938000. Its totient is φ = 67540263120.

The previous prime is 101344214281. The next prime is 101344214359. The reversal of 101344214331 is 133412443101.

101344214331 is a `hidden beast` number, since 101 + 344 + 214 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 101344214331 - 2²² = 101340020027 is a prime.

It is a super-2 number, since 2×101344214331² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101344214295 and 101344214304.

It is not an unprimeable number, because it can be changed into a prime (101344214381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1850380 + ... + 1904361.

It is an arithmetic number, because the mean of its divisors is an integer number (12202911500).

Almost surely, 2^101344214331 is an apocalyptic number.

101344214331 is a deficient number, since it is larger than the sum of its proper divisors (45090723669).

101344214331 is a wasteful number, since it uses less digits than its factorization.

101344214331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757746 (or 3757743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101344214331 its reverse (133412443101), we get a palindrome (234756657432).

The spelling of 101344214331 in words is "one hundred one billion, three hundred forty-four million, two hundred fourteen thousand, three hundred thirty-one".