101406131730 has 24 divisors (see below), whose sum is σ = 263655942732. Its totient is φ = 27041635104.

The previous prime is 101406131711. The next prime is 101406131747. The reversal of 101406131730 is 37131604101.

101406131730 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 613 + 17 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100611399249 + 794732481 = 317193^2 + 28191^2 .

It is a super-2 number, since 2×101406131730² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101406131694 and 101406131703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563367309 + ... + 563367488.

Almost surely, 2^101406131730 is an apocalyptic number.

101406131730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101406131730 is an abundant number, since it is smaller than the sum of its proper divisors (162249811002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101406131730 is a wasteful number, since it uses less digits than its factorization.

101406131730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126734810 (or 1126734807 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 101406131730 its reverse (37131604101), we get a palindrome (138537735831).

The spelling of 101406131730 in words is "one hundred one billion, four hundred six million, one hundred thirty-one thousand, seven hundred thirty".