101114320414003 has 16 divisors (see below), whose sum is σ = 109922710474080. Its totient is φ = 92453326684416.

The previous prime is 101114320413973. The next prime is 101114320414021. The reversal of 101114320414003 is 300414023411101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101114320414003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101114320414033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7880943 + ... + 16258471.

It is an arithmetic number, because the mean of its divisors is an integer number (6870169404630).

Almost surely, 2^{101114320414003} is an apocalyptic number.

101114320414003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101114320414003 is a deficient number, since it is larger than the sum of its proper divisors (8808390060077).

101114320414003 is a wasteful number, since it uses less digits than its factorization.

101114320414003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386326.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101114320414003 its reverse (300414023411101), we get a palindrome (401528343825104).

The spelling of 101114320414003 in words is "one hundred one trillion, one hundred fourteen billion, three hundred twenty million, four hundred fourteen thousand, three".