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31013 is a prime number
BaseRepresentation
bin111100100100101
31120112122
413210211
51443023
6355325
7156263
oct74445
946478
1031013
1121334
1215b45
1311168
14b433
1592c8
hex7925

31013 has 2 divisors, whose sum is σ = 31014. Its totient is φ = 31012.

The previous prime is 30983. The next prime is 31019.

It can be divided in two parts, 310 and 13, that added together give a palindrome (323).

31013 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16129 + 14884 = 127^2 + 122^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31013 - 26 = 30949 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506 + 15507.

It is an arithmetic number, because the mean of its divisors is an integer number (15507).

231013 is an apocalyptic number.

It is an amenable number.

31013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013 is an equidigital number, since it uses as much as digits as its factorization.

31013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 31013 is about 176.1050822662. The cubic root of 31013 is about 31.4181970875.

The spelling of 31013 in words is "thirty-one thousand, thirteen".