211130013400 has 96 divisors (see below), whose sum is σ = 516920263200. Its totient is φ = 80038886400.

The previous prime is 211130013379. The next prime is 211130013407. The reversal of 211130013400 is 4310031112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211130013407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290860 + ... + 711940.

It is an arithmetic number, because the mean of its divisors is an integer number (5384586075).

Almost surely, 2^211130013400 is an apocalyptic number.

211130013400 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 211130013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258460131600).

211130013400 is an abundant number, since it is smaller than the sum of its proper divisors (305790249800).

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

211130013400 is a wasteful number, since it uses less digits than its factorization.

211130013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421229 (or 421220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211130013400 its reverse (4310031112), we get a palindrome (215440044512).

The spelling of 211130013400 in words is "two hundred eleven billion, one hundred thirty million, thirteen thousand, four hundred".