213133100313131 has 32 divisors (see below), whose sum is σ = 219488563123200. Its totient is φ = 206857140721920.

The previous prime is 213133100313109. The next prime is 213133100313137. The reversal of 213133100313131 is 131313001331312.

It is a cyclic number.

It is not a de Polignac number, because 213133100313131 - 2³⁴ = 213115920443947 is a prime.

It is a super-2 number, since 2×213133100313131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213133100313131.

It is not an unprimeable number, because it can be changed into a prime (213133100313137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28263237221 + ... + 28263244761.

It is an arithmetic number, because the mean of its divisors is an integer number (6859017597600).

Almost surely, 2^{213133100313131} is an apocalyptic number.

213133100313131 is a deficient number, since it is larger than the sum of its proper divisors (6355462810069).

213133100313131 is a wasteful number, since it uses less digits than its factorization.

213133100313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 213133100313131 its reverse (131313001331312), we get a palindrome (344446101644443).

The spelling of 213133100313131 in words is "two hundred thirteen trillion, one hundred thirty-three billion, one hundred million, three hundred thirteen thousand, one hundred thirty-one".