114131314101 has 16 divisors (see below), whose sum is σ = 177958905344. Its totient is φ = 63701198064.

The previous prime is 114131314079. The next prime is 114131314103. The reversal of 114131314101 is 101413131411.

It is not a de Polignac number, because 114131314101 - 2⁷ = 114131313973 is a prime.

It is a super-2 number, since 2×114131314101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131314103) 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, 63194731 + ... + 63196536.

It is an arithmetic number, because the mean of its divisors is an integer number (11122431584).

Almost surely, 2^114131314101 is an apocalyptic number.

It is an amenable number.

114131314101 is a deficient number, since it is larger than the sum of its proper divisors (63827591243).

114131314101 is a wasteful number, since it uses less digits than its factorization.

114131314101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126391320.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 114131314101 its reverse (101413131411), we get a palindrome (215544445512).

It can be divided in two parts, 11413131410 and 1, that added together give a palindrome (11413131411).

The spelling of 114131314101 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred fourteen thousand, one hundred one".