110331131313131 has 2 divisors, whose sum is σ = 110331131313132. Its totient is φ = 110331131313130.

The previous prime is 110331131313107. The next prime is 110331131313191. The reversal of 110331131313131 is 131313131133011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110331131313131 - 2²² = 110331127118827 is a prime.

It is a super-2 number, since 2×110331131313131² (a number of 29 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 110331131313131.

It is not a weakly prime, because it can be changed into another prime (110331131313101) 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 as a sum of consecutive naturals, namely, 55165565656565 + 55165565656566.

It is an arithmetic number, because the mean of its divisors is an integer number (55165565656566).

Almost surely, 2^{110331131313131} is an apocalyptic number.

110331131313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

110331131313131 is an equidigital number, since it uses as much as digits as its factorization.

110331131313131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 26.

Adding to 110331131313131 its reverse (131313131133011), we get a palindrome (241644262446142).

The spelling of 110331131313131 in words is "one hundred ten trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-one".