212131232033000 has 96 divisors (see below), whose sum is σ = 577429872144840. Its totient is φ = 72730708108800.

The previous prime is 212131232032997. The next prime is 212131232033041. The reversal of 212131232033000 is 330232131212.

212131232033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40286871673636 + 171844360359364 = 6347194^2 + 13108942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2164555409 + ... + 2164653408.

Almost surely, 2^{212131232033000} is an apocalyptic number.

212131232033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131232033000 is an abundant number, since it is smaller than the sum of its proper divisors (365298640111840).

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

212131232033000 is a wasteful number, since it uses less digits than its factorization.

212131232033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329208852 (or 4329208831 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212131232033000 its reverse (330232131212), we get a palindrome (212461464164212).

The spelling of 212131232033000 in words is "two hundred twelve trillion, one hundred thirty-one billion, two hundred thirty-two million, thirty-three thousand".