21123033231300 has 2304 divisors, whose sum is σ = 85926500352000. Its totient is φ = 3866849280000.

The previous prime is 21123033231283. The next prime is 21123033231329. The reversal of 21123033231300 is 313233032112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 141765323626 + ... + 141765323774.

It is an arithmetic number, because the mean of its divisors is an integer number (37294488000).

Almost surely, 2^{21123033231300} is an apocalyptic number.

21123033231300 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 21123033231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42963250176000).

21123033231300 is an abundant number, since it is smaller than the sum of its proper divisors (64803467120700).

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

21123033231300 is a wasteful number, since it uses less digits than its factorization.

21123033231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21123033231300 its reverse (313233032112), we get a palindrome (21436266263412).

The spelling of 21123033231300 in words is "twenty-one trillion, one hundred twenty-three billion, thirty-three million, two hundred thirty-one thousand, three hundred".