13122302331231 has 64 divisors (see below), whose sum is σ = 20612299264000. Its totient is φ = 8236242000000.

The previous prime is 13122302331191. The next prime is 13122302331233. The reversal of 13122302331231 is 13213320322131.

13122302331231 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 302 + 331 + 23 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-13122302331231 is a prime.

It is a super-2 number, since 2×13122302331231² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13122302331195 and 13122302331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122302331233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349899981 + ... + 349937481.

It is an arithmetic number, because the mean of its divisors is an integer number (322067176000).

Almost surely, 2^{13122302331231} is an apocalyptic number.

13122302331231 is a deficient number, since it is larger than the sum of its proper divisors (7489996932769).

13122302331231 is a wasteful number, since it uses less digits than its factorization.

13122302331231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48877 (or 48871 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13122302331231 its reverse (13213320322131), we get a palindrome (26335622653362).

The spelling of 13122302331231 in words is "thirteen trillion, one hundred twenty-two billion, three hundred two million, three hundred thirty-one thousand, two hundred thirty-one".