213121201312032 has 48 divisors (see below), whose sum is σ = 602477242174080. Its totient is φ = 65575754249472.

The previous prime is 213121201312031. The next prime is 213121201312081. The reversal of 213121201312032 is 230213102121312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213121201311993 and 213121201312011.

It is not an unprimeable number, because it can be changed into a prime (213121201312031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85385095432 + ... + 85385097927.

It is an arithmetic number, because the mean of its divisors is an integer number (12551609211960).

Almost surely, 2^{213121201312032} is an apocalyptic number.

It is an amenable number.

213121201312032 is an abundant number, since it is smaller than the sum of its proper divisors (389356040862048).

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

213121201312032 is a wasteful number, since it uses less digits than its factorization.

213121201312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170770193385 (or 170770193377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213121201312032 its reverse (230213102121312), we get a palindrome (443334303433344).

The spelling of 213121201312032 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred one million, three hundred twelve thousand, thirty-two".