13131000013273 has 2 divisors, whose sum is σ = 13131000013274. Its totient is φ = 13131000013272.

The previous prime is 13131000013267. The next prime is 13131000013301. The reversal of 13131000013273 is 37231000013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10445901568144 + 2685098445129 = 3232012^2 + 1638627^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131000013273 - 2²⁹ = 13130463142361 is a prime.

It is a super-2 number, since 2×13131000013273² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13131000013253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565500006636 + 6565500006637.

It is an arithmetic number, because the mean of its divisors is an integer number (6565500006637).

Almost surely, 2^{13131000013273} is an apocalyptic number.

It is an amenable number.

13131000013273 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131000013273 is an equidigital number, since it uses as much as digits as its factorization.

13131000013273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 13131000013273 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, two hundred seventy-three".