11312313131101 has 2 divisors, whose sum is σ = 11312313131102. Its totient is φ = 11312313131100.

The previous prime is 11312313131099. The next prime is 11312313131113. The reversal of 11312313131101 is 10113131321311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5763485327076 + 5548827804025 = 2400726^2 + 2355595^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312313131101 - 2¹ = 11312313131099 is a prime.

It is a super-2 number, since 2×11312313131101² (a number of 27 digits) contains 22 as substring.

Together with 11312313131099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11312313137101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656156565550 + 5656156565551.

It is an arithmetic number, because the mean of its divisors is an integer number (5656156565551).

Almost surely, 2^{11312313131101} is an apocalyptic number.

It is an amenable number.

11312313131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11312313131101 is an equidigital number, since it uses as much as digits as its factorization.

11312313131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 11312313131101 its reverse (10113131321311), we get a palindrome (21425444452412).

The spelling of 11312313131101 in words is "eleven trillion, three hundred twelve billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred one".