213013201301100 has 108 divisors (see below), whose sum is σ = 668085916889664. Its totient is φ = 56768820186240.

The previous prime is 213013201301057. The next prime is 213013201301107. The reversal of 213013201301100 is 1103102310312.

213013201301100 is a `hidden beast` number, since 2 + 1 + 30 + 1 + 320 + 1 + 301 + 10 + 0 = 666.

It is a super-2 number, since 2×213013201301100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213013201301107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70817884 + ... + 73764483.

Almost surely, 2^{213013201301100} is an apocalyptic number.

213013201301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013201301100 is an abundant number, since it is smaller than the sum of its proper divisors (455072715588564).

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

213013201301100 is a wasteful number, since it uses less digits than its factorization.

213013201301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144584024 (or 144584014 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213013201301100 its reverse (1103102310312), we get a palindrome (214116303611412).

The spelling of 213013201301100 in words is "two hundred thirteen trillion, thirteen billion, two hundred one million, three hundred one thousand, one hundred".