213432123400 has 48 divisors (see below), whose sum is σ = 496326983040. Its totient is φ = 85356110400.

The previous prime is 213432123383. The next prime is 213432123419. The reversal of 213432123400 is 4321234312.

213432123400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 944197 + ... + 1148203.

It is an arithmetic number, because the mean of its divisors is an integer number (10340145480).

Almost surely, 2^213432123400 is an apocalyptic number.

213432123400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213432123400 is an abundant number, since it is smaller than the sum of its proper divisors (282894859640).

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

213432123400 is a wasteful number, since it uses less digits than its factorization.

213432123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209254 (or 209245 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 213432123400 its reverse (4321234312), we get a palindrome (217753357712).

The spelling of 213432123400 in words is "two hundred thirteen billion, four hundred thirty-two million, one hundred twenty-three thousand, four hundred".