13121313123031 has 32 divisors (see below), whose sum is σ = 13544945971200. Its totient is φ = 12703086539520.

The previous prime is 13121313122941. The next prime is 13121313123041. The reversal of 13121313123031 is 13032131312131.

It is a cyclic number.

It is not a de Polignac number, because 13121313123031 - 2²³ = 13121304734423 is a prime.

It is a super-2 number, since 2×13121313123031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13121313122987 and 13121313123005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121313123041) 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, 4464548760 + ... + 4464551698.

It is an arithmetic number, because the mean of its divisors is an integer number (423279561600).

Almost surely, 2^{13121313123031} is an apocalyptic number.

13121313123031 is a deficient number, since it is larger than the sum of its proper divisors (423632848169).

13121313123031 is a wasteful number, since it uses less digits than its factorization.

13121313123031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13121313123031 its reverse (13032131312131), we get a palindrome (26153444435162).

The spelling of 13121313123031 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred twenty-three thousand, thirty-one".