213024431300 has 36 divisors (see below), whose sum is σ = 489454961940. Its totient is φ = 80197432320.

The previous prime is 213024431281. The next prime is 213024431309. The reversal of 213024431300 is 3134420312.

It can be written as a sum of positive squares in 6 ways, for example, as 7545354496 + 205479076804 = 86864^2 + 453298^2 .

It is not an unprimeable number, because it can be changed into a prime (213024431309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62652545 + ... + 62655944.

It is an arithmetic number, because the mean of its divisors is an integer number (13595971165).

Almost surely, 2^213024431300 is an apocalyptic number.

213024431300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213024431300 is an abundant number, since it is smaller than the sum of its proper divisors (276430530640).

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

213024431300 is a wasteful number, since it uses less digits than its factorization.

213024431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125308520 (or 125308513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213024431300 its reverse (3134420312), we get a palindrome (216158851612).

The spelling of 213024431300 in words is "two hundred thirteen billion, twenty-four million, four hundred thirty-one thousand, three hundred".