114201311332020 has 192 divisors, whose sum is σ = 369432588220416. Its totient is φ = 26086217541120.

The previous prime is 114201311331973. The next prime is 114201311332057. The reversal of 114201311332020 is 20233113102411.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 55125799 + ... + 57159918.

It is an arithmetic number, because the mean of its divisors is an integer number (1924128063648).

Almost surely, 2^{114201311332020} is an apocalyptic number.

114201311332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114201311332020 is an abundant number, since it is smaller than the sum of its proper divisors (255231276888396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114201311332020 is a wasteful number, since it uses less digits than its factorization.

114201311332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112285830 (or 112285828 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 114201311332020 its reverse (20233113102411), we get a palindrome (134434424434431).

The spelling of 114201311332020 in words is "one hundred fourteen trillion, two hundred one billion, three hundred eleven million, three hundred thirty-two thousand, twenty".