213514100 has 18 divisors (see below), whose sum is σ = 463325814. Its totient is φ = 85405600.

The previous prime is 213514099. The next prime is 213514117. The reversal of 213514100 is 1415312.

It can be written as a sum of positive squares in 3 ways, for example, as 57214096 + 156300004 = 7564^2 + 12502^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1067471 + ... + 1067670.

It is an arithmetic number, because the mean of its divisors is an integer number (25740323).

Almost surely, 2^213514100 is an apocalyptic number.

213514100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213514100 is an abundant number, since it is smaller than the sum of its proper divisors (249811714).

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

213514100 is a wasteful number, since it uses less digits than its factorization.

213514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135155 (or 2135148 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 213514100 is about 14612.1216803037. The cubic root of 213514100 is about 597.6893536863.

Adding to 213514100 its reverse (1415312), we get a palindrome (214929412).

The spelling of 213514100 in words is "two hundred thirteen million, five hundred fourteen thousand, one hundred".