213354414332100 has 54 divisors (see below), whose sum is σ = 668747558703770. Its totient is φ = 56894510488320.

The previous prime is 213354414332051. The next prime is 213354414332119. The reversal of 213354414332100 is 1233414453312.

213354414332100 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 5 + 4 + 4 + 1 + 433 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1559016943236 + 211795397388864 = 1248606^2 + 14553192^2 .

It is a super-2 number, since 2×213354414332100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118530229285 + ... + 118530231084.

Almost surely, 2^{213354414332100} is an apocalyptic number.

213354414332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213354414332100 is an abundant number, since it is smaller than the sum of its proper divisors (455393144371670).

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

213354414332100 is a wasteful number, since it uses less digits than its factorization.

213354414332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237060460389 (or 237060460379 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 213354414332100 its reverse (1233414453312), we get a palindrome (214587828785412).

The spelling of 213354414332100 in words is "two hundred thirteen trillion, three hundred fifty-four billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred".