13013414213131 has 2 divisors, whose sum is σ = 13013414213132. Its totient is φ = 13013414213130.

The previous prime is 13013414213117. The next prime is 13013414213141. The reversal of 13013414213131 is 13131241431031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13013414213131 - 2⁹ = 13013414212619 is a prime.

It is a super-2 number, since 2×13013414213131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13013414213131.

It is not a weakly prime, because it can be changed into another prime (13013414213141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506707106565 + 6506707106566.

It is an arithmetic number, because the mean of its divisors is an integer number (6506707106566).

Almost surely, 2^{13013414213131} is an apocalyptic number.

13013414213131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013414213131 is an equidigital number, since it uses as much as digits as its factorization.

13013414213131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 13013414213131 its reverse (13131241431031), we get a palindrome (26144655644162).

The spelling of 13013414213131 in words is "thirteen trillion, thirteen billion, four hundred fourteen million, two hundred thirteen thousand, one hundred thirty-one".