101314134042435 has 32 divisors (see below), whose sum is σ = 180114654108480. Its totient is φ = 54034013412864.

The previous prime is 101314134042389. The next prime is 101314134042449. The reversal of 101314134042435 is 534240431413101.

101314134042435 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 4 + 1 + 3 + 404 + 243 + 5 = 666.

It is not a de Polignac number, because 101314134042435 - 2⁷ = 101314134042307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101314134042435.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42176157 + ... + 44513553.

It is an arithmetic number, because the mean of its divisors is an integer number (5628582940890).

Almost surely, 2^{101314134042435} is an apocalyptic number.

101314134042435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101314134042435 is a deficient number, since it is larger than the sum of its proper divisors (78800520066045).

101314134042435 is a wasteful number, since it uses less digits than its factorization.

101314134042435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658484 (or 2658478 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 101314134042435 its reverse (534240431413101), we get a palindrome (635554565455536).

The spelling of 101314134042435 in words is "one hundred one trillion, three hundred fourteen billion, one hundred thirty-four million, forty-two thousand, four hundred thirty-five".