114531204213300 has 288 divisors, whose sum is σ = 384083141105664. Its totient is φ = 25807658688000.

The previous prime is 114531204213281. The next prime is 114531204213301. The reversal of 114531204213300 is 3312402135411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114531204213301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302526430 + ... + 2302576170.

It is an arithmetic number, because the mean of its divisors is an integer number (1333622017728).

Almost surely, 2^{114531204213300} is an apocalyptic number.

114531204213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114531204213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192041570552832).

114531204213300 is an abundant number, since it is smaller than the sum of its proper divisors (269551936892364).

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

114531204213300 is a wasteful number, since it uses less digits than its factorization.

114531204213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65279 (or 65272 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 114531204213300 its reverse (3312402135411), we get a palindrome (117843606348711).

The spelling of 114531204213300 in words is "one hundred fourteen trillion, five hundred thirty-one billion, two hundred four million, two hundred thirteen thousand, three hundred".