40231213313 has 2 divisors, whose sum is σ = 40231213314. Its totient is φ = 40231213312.

The previous prime is 40231213291. The next prime is 40231213331. The reversal of 40231213313 is 31331213204.

Together with next prime (40231213331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29953917184 + 10277296129 = 173072^2 + 101377^2 .

It is a cyclic number.

It is not a de Polignac number, because 40231213313 - 2¹² = 40231209217 is a prime.

It is a super-4 number, since 4×40231213313⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (40231213333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20115606656 + 20115606657.

It is an arithmetic number, because the mean of its divisors is an integer number (20115606657).

Almost surely, 2^40231213313 is an apocalyptic number.

It is an amenable number.

40231213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

40231213313 is an equidigital number, since it uses as much as digits as its factorization.

40231213313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 40231213313 its reverse (31331213204), we get a palindrome (71562426517).

The spelling of 40231213313 in words is "forty billion, two hundred thirty-one million, two hundred thirteen thousand, three hundred thirteen".