23430114213000 has 512 divisors, whose sum is σ = 81251299584000. Its totient is φ = 5573377920000.

The previous prime is 23430114212951. The next prime is 23430114213041. The reversal of 23430114213000 is 31241103432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 843433111 + ... + 843460889.

It is an arithmetic number, because the mean of its divisors is an integer number (158693944500).

Almost surely, 2^{23430114213000} is an apocalyptic number.

23430114213000 is a gapful number since it is divisible by the number (20) 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 23430114213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40625649792000).

23430114213000 is an abundant number, since it is smaller than the sum of its proper divisors (57821185371000).

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

23430114213000 is a wasteful number, since it uses less digits than its factorization.

23430114213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28294 (or 28280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23430114213000 its reverse (31241103432), we get a palindrome (23461355316432).

The spelling of 23430114213000 in words is "twenty-three trillion, four hundred thirty billion, one hundred fourteen million, two hundred thirteen thousand".