213142234033000 has 64 divisors (see below), whose sum is σ = 498954512693520. Its totient is φ = 85222417536000.

The previous prime is 213142234032953. The next prime is 213142234033093. The reversal of 213142234033000 is 330432241312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 75107979588196 + 138034254444804 = 8666486^2 + 11748798^2 .

It is a super-2 number, since 2×213142234033000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213142234033000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40620861 + ... + 45566860.

Almost surely, 2^{213142234033000} is an apocalyptic number.

213142234033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213142234033000 is an abundant number, since it is smaller than the sum of its proper divisors (285812278660520).

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

213142234033000 is a wasteful number, since it uses less digits than its factorization.

213142234033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86190215 (or 86190201 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213142234033000 its reverse (330432241312), we get a palindrome (213472666274312).

The spelling of 213142234033000 in words is "two hundred thirteen trillion, one hundred forty-two billion, two hundred thirty-four million, thirty-three thousand".