213013013112131 has 2 divisors, whose sum is σ = 213013013112132. Its totient is φ = 213013013112130.

The previous prime is 213013013112049. The next prime is 213013013112233. The reversal of 213013013112131 is 131211310310312.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213013013112131 is a prime.

It is a super-2 number, since 2×213013013112131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213013013112097 and 213013013112106.

It is not a weakly prime, because it can be changed into another prime (213013013132131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506506556065 + 106506506556066.

It is an arithmetic number, because the mean of its divisors is an integer number (106506506556066).

Almost surely, 2^{213013013112131} is an apocalyptic number.

213013013112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013013112131 is an equidigital number, since it uses as much as digits as its factorization.

213013013112131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 213013013112131 its reverse (131211310310312), we get a palindrome (344224323422443).

The spelling of 213013013112131 in words is "two hundred thirteen trillion, thirteen billion, thirteen million, one hundred twelve thousand, one hundred thirty-one".