231200013000 has 256 divisors, whose sum is σ = 808193168640. Its totient is φ = 54533376000.

The previous prime is 231200012951. The next prime is 231200013029. The reversal of 231200013000 is 310002132.

It is a happy number.

231200013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×231200013000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1126324 + ... + 1315676.

It is an arithmetic number, because the mean of its divisors is an integer number (3157004565).

Almost surely, 2^231200013000 is an apocalyptic number.

231200013000 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 231200013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404096584320).

231200013000 is an abundant number, since it is smaller than the sum of its proper divisors (576993155640).

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

231200013000 is a wasteful number, since it uses less digits than its factorization.

231200013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189425 (or 189411 counting only the distinct ones).

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

Adding to 231200013000 its reverse (310002132), we get a palindrome (231510015132).

The spelling of 231200013000 in words is "two hundred thirty-one billion, two hundred million, thirteen thousand".