114442133221031 has 32 divisors (see below), whose sum is σ = 144097143837696. Its totient is φ = 88290702720000.

The previous prime is 114442133220967. The next prime is 114442133221081. The reversal of 114442133221031 is 130122331244411.

It is not a de Polignac number, because 114442133221031 - 2⁶ = 114442133220967 is a prime.

It is a super-2 number, since 2×114442133221031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114442133221081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390826766 + ... + 391119476.

It is an arithmetic number, because the mean of its divisors is an integer number (4503035744928).

Almost surely, 2^{114442133221031} is an apocalyptic number.

114442133221031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114442133221031 is a deficient number, since it is larger than the sum of its proper divisors (29655010616665).

114442133221031 is a wasteful number, since it uses less digits than its factorization.

114442133221031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343103.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 114442133221031 its reverse (130122331244411), we get a palindrome (244564464465442).

The spelling of 114442133221031 in words is "one hundred fourteen trillion, four hundred forty-two billion, one hundred thirty-three million, two hundred twenty-one thousand, thirty-one".