230401131133200 has 480 divisors, whose sum is σ = 804937364044800. Its totient is φ = 56111971829760.

The previous prime is 230401131133183. The next prime is 230401131133207. The reversal of 230401131133200 is 2331131104032.

It is a super-2 number, since 2×230401131133200² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (230401131133207) 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, 424880637 + ... + 425422563.

It is an arithmetic number, because the mean of its divisors is an integer number (1676952841760).

Almost surely, 2^{230401131133200} is an apocalyptic number.

230401131133200 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 230401131133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402468682022400).

230401131133200 is an abundant number, since it is smaller than the sum of its proper divisors (574536232911600).

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

230401131133200 is a wasteful number, since it uses less digits than its factorization.

230401131133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542639 (or 542628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 230401131133200 its reverse (2331131104032), we get a palindrome (232732262237232).

The spelling of 230401131133200 in words is "two hundred thirty trillion, four hundred one billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred".