213033350201100 has 288 divisors, whose sum is σ = 731304286030080. Its totient is φ = 47199799680000.

The previous prime is 213033350201093. The next prime is 213033350201107. The reversal of 213033350201100 is 1102053330312.

It is an interprime number because it is at equal distance from previous prime (213033350201093) and next prime (213033350201107).

It is not an unprimeable number, because it can be changed into a prime (213033350201107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20250330 + ... + 28916129.

It is an arithmetic number, because the mean of its divisors is an integer number (2539250993160).

Almost surely, 2^{213033350201100} is an apocalyptic number.

213033350201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213033350201100 is an abundant number, since it is smaller than the sum of its proper divisors (518270935828980).

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

213033350201100 is a wasteful number, since it uses less digits than its factorization.

213033350201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49166601 (or 49166594 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 213033350201100 in words is "two hundred thirteen trillion, thirty-three billion, three hundred fifty million, two hundred one thousand, one hundred".