13131031 has 2 divisors, whose sum is σ = 13131032. Its totient is φ = 13131030.

The previous prime is 13131023. The next prime is 13131037. The reversal of 13131031 is 13013131.

It is a happy number.

13131031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13013131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131031 - 2³ = 13131023 is a prime.

It is a super-2 number, since 2×13131031² = 344847950245922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565515 + 6565516.

It is an arithmetic number, because the mean of its divisors is an integer number (6565516).

Almost surely, 2^13131031 is an apocalyptic number.

13131031 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131031 is an equidigital number, since it uses as much as digits as its factorization.

13131031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13131031 is about 3623.6764480290. The cubic root of 13131031 is about 235.9208235307.

Adding to 13131031 its reverse (13013131), we get a palindrome (26144162).

It can be divided in two parts, 13 and 131031, that added together give a square (131044 = 362²).

The spelling of 13131031 in words is "thirteen million, one hundred thirty-one thousand, thirty-one".