213432402121000 has 128 divisors (see below), whose sum is σ = 502925372820000. Its totient is φ = 84776095488000.

The previous prime is 213432402120997. The next prime is 213432402121069. The reversal of 213432402121000 is 121204234312.

It can be written as a sum of positive squares in 16 ways, for example, as 978631390564 + 212453770730436 = 989258^2 + 14575794^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533368996 + ... + 533769004.

Almost surely, 2^{213432402121000} is an apocalyptic number.

213432402121000 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 213432402121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251462686410000).

213432402121000 is an abundant number, since it is smaller than the sum of its proper divisors (289492970699000).

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

213432402121000 is a wasteful number, since it uses less digits than its factorization.

213432402121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403760 (or 403746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213432402121000 its reverse (121204234312), we get a palindrome (213553606355312).

The spelling of 213432402121000 in words is "two hundred thirteen trillion, four hundred thirty-two billion, four hundred two million, one hundred twenty-one thousand".