213013132002 has 48 divisors (see below), whose sum is σ = 503670024000. Its totient is φ = 64525788000.

The previous prime is 213013132001. The next prime is 213013132021. The reversal of 213013132002 is 200231310312.

213013132002 is a `hidden beast` number, since 213 + 0 + 131 + 320 + 0 + 2 = 666.

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 (213013132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348627 + ... + 739977.

It is an arithmetic number, because the mean of its divisors is an integer number (10493125500).

Almost surely, 2^213013132002 is an apocalyptic number.

213013132002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213013132002 is an abundant number, since it is smaller than the sum of its proper divisors (290656891998).

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

213013132002 is a wasteful number, since it uses less digits than its factorization.

213013132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394119 (or 394116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213013132002 its reverse (200231310312), we get a palindrome (413244442314).

The spelling of 213013132002 in words is "two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, two".