231213120010000 has 200 divisors, whose sum is σ = 562059546690488. Its totient is φ = 92111040000000.

The previous prime is 231213120009929. The next prime is 231213120010021. The reversal of 231213120010000 is 10021312132.

It can be written as a sum of positive squares in 20 ways, for example, as 228397691060224 + 2815428949776 = 15112832^2 + 1677924^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2530164310 + ... + 2530255690.

Almost surely, 2^{231213120010000} is an apocalyptic number.

231213120010000 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 231213120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281029773345244).

231213120010000 is an abundant number, since it is smaller than the sum of its proper divisors (330846426680488).

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

231213120010000 is an equidigital number, since it uses as much as digits as its factorization.

231213120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92431 (or 92410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231213120010000 its reverse (10021312132), we get a palindrome (231223141322132).

The spelling of 231213120010000 in words is "two hundred thirty-one trillion, two hundred thirteen billion, one hundred twenty million, ten thousand".