31413231013 has 2 divisors, whose sum is σ = 31413231014. Its totient is φ = 31413231012.

The previous prime is 31413231011. The next prime is 31413231043. The reversal of 31413231013 is 31013231413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24480670369 + 6932560644 = 156463^2 + 83262^2 .

It is a cyclic number.

It is not a de Polignac number, because 31413231013 - 2¹ = 31413231011 is a prime.

It is a super-2 number, since 2×31413231013² (a number of 22 digits) contains 22 as substring.

Together with 31413231011, 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 (31413231011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15706615506 + 15706615507.

It is an arithmetic number, because the mean of its divisors is an integer number (15706615507).

Almost surely, 2^31413231013 is an apocalyptic number.

It is an amenable number.

31413231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31413231013 is an equidigital number, since it uses as much as digits as its factorization.

31413231013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31413231013 its reverse (31013231413), we get a palindrome (62426462426).

The spelling of 31413231013 in words is "thirty-one billion, four hundred thirteen million, two hundred thirty-one thousand, thirteen".