231300201000000 has 1568 divisors, whose sum is σ = 872197848224640. Its totient is φ = 53580800000000.

The previous prime is 231300200999977. The next prime is 231300201000013. The reversal of 231300201000000 is 102003132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 231300201000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 96656998804 + ... + 96657001196.

Almost surely, 2^{231300201000000} is an apocalyptic number.

231300201000000 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 231300201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436098924112320).

231300201000000 is an abundant number, since it is smaller than the sum of its proper divisors (640897647224640).

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

231300201000000 is a wasteful number, since it uses less digits than its factorization.

231300201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 231300201000000 its reverse (102003132), we get a palindrome (231300303003132).

The spelling of 231300201000000 in words is "two hundred thirty-one trillion, three hundred billion, two hundred one million", and thus it is an aban number.