213431403100 has 108 divisors (see below), whose sum is σ = 482499616312. Its totient is φ = 81888105600.

The previous prime is 213431403077. The next prime is 213431403113. The reversal of 213431403100 is 1304134312.

It is a super-2 number, since 2×213431403100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18645979 + ... + 18657421.

Almost surely, 2^213431403100 is an apocalyptic number.

213431403100 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 213431403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241249808156).

213431403100 is an abundant number, since it is smaller than the sum of its proper divisors (269068213212).

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

213431403100 is a wasteful number, since it uses less digits than its factorization.

213431403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213431403100 its reverse (1304134312), we get a palindrome (214735537412).

The spelling of 213431403100 in words is "two hundred thirteen billion, four hundred thirty-one million, four hundred three thousand, one hundred".