213202101231000 has 192 divisors, whose sum is σ = 823569259855680. Its totient is φ = 48731908838400.

The previous prime is 213202101230927. The next prime is 213202101231011. The reversal of 213202101231000 is 132101202312.

213202101231000 is a `hidden beast` number, since 2 + 1 + 320 + 21 + 0 + 12 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×213202101231000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692017169 + ... + 1692143168.

It is an arithmetic number, because the mean of its divisors is an integer number (4289423228415).

Almost surely, 2^{213202101231000} is an apocalyptic number.

213202101231000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213202101231000 is an abundant number, since it is smaller than the sum of its proper divisors (610367158624680).

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

213202101231000 is a wasteful number, since it uses less digits than its factorization.

213202101231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384160371 (or 3384160354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213202101231000 its reverse (132101202312), we get a palindrome (213334202433312).

The spelling of 213202101231000 in words is "two hundred thirteen trillion, two hundred two billion, one hundred one million, two hundred thirty-one thousand".