213131321233131 has 32 divisors (see below), whose sum is σ = 329171521536000. Its totient is φ = 120148324062624.

The previous prime is 213131321233099. The next prime is 213131321233151. The reversal of 213131321233131 is 131332123131312.

213131321233131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213131321233131 - 2⁵ = 213131321233099 is a prime.

It is a super-2 number, since 2×213131321233131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213131321233151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186760131 + ... + 187897868.

It is an arithmetic number, because the mean of its divisors is an integer number (10286610048000).

Almost surely, 2^{213131321233131} is an apocalyptic number.

213131321233131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213131321233131 is a deficient number, since it is larger than the sum of its proper divisors (116040200302869).

213131321233131 is a wasteful number, since it uses less digits than its factorization.

213131321233131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374658375.

The product of its digits is 5832, while the sum is 30.

Adding to 213131321233131 its reverse (131332123131312), we get a palindrome (344463444364443).

The spelling of 213131321233131 in words is "two hundred thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred thirty-one".