100135122301431 has 72 divisors (see below), whose sum is σ = 170898828921600. Its totient is φ = 56325076647840.

The previous prime is 100135122301391. The next prime is 100135122301457. The reversal of 100135122301431 is 134103221531001.

100135122301431 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 5 + 1 + 223 + 0 + 1 + 431 = 666.

It is not a de Polignac number, because 100135122301431 - 2²⁶ = 100135055192567 is a prime.

It is a super-2 number, since 2×100135122301431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100135122301395 and 100135122301404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100135122301481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7189980 + ... + 15873438.

Almost surely, 2^{100135122301431} is an apocalyptic number.

100135122301431 is a deficient number, since it is larger than the sum of its proper divisors (70763706620169).

100135122301431 is a wasteful number, since it uses less digits than its factorization.

100135122301431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683889 (or 8683879 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100135122301431 its reverse (134103221531001), we get a palindrome (234238343832432).

The spelling of 100135122301431 in words is "one hundred trillion, one hundred thirty-five billion, one hundred twenty-two million, three hundred one thousand, four hundred thirty-one".