114132101231411 has 32 divisors (see below), whose sum is σ = 116624135041920. Its totient is φ = 111668202777600.

The previous prime is 114132101231389. The next prime is 114132101231483.

114132101231411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 114132101231411 - 2³⁴ = 114114921362227 is a prime.

It is a super-2 number, since 2×114132101231411² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114132101231611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13057094501 + ... + 13057103241.

It is an arithmetic number, because the mean of its divisors is an integer number (3644504220060).

Almost surely, 2^{114132101231411} is an apocalyptic number.

114132101231411 is a deficient number, since it is larger than the sum of its proper divisors (2492033810509).

114132101231411 is a wasteful number, since it uses less digits than its factorization.

114132101231411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567.

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 11413210 and 1231411, that added together give a palindrome (12644621).

The spelling of 114132101231411 in words is "one hundred fourteen trillion, one hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, four hundred eleven".