213002041400 has 48 divisors (see below), whose sum is σ = 495289121640. Its totient is φ = 85190601600.

The previous prime is 213002041387. The next prime is 213002041471. The reversal of 213002041400 is 4140200312.

213002041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1734842 + ... + 1853558.

Almost surely, 2^213002041400 is an apocalyptic number.

213002041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002041400 is an abundant number, since it is smaller than the sum of its proper divisors (282287080240).

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

213002041400 is a wasteful number, since it uses less digits than its factorization.

213002041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127704 (or 127695 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213002041400 its reverse (4140200312), we get a palindrome (217142241712).

The spelling of 213002041400 in words is "two hundred thirteen billion, two million, forty-one thousand, four hundred".