131102001013 has 2 divisors, whose sum is σ = 131102001014. Its totient is φ = 131102001012.

The previous prime is 131102001011. The next prime is 131102001031. The reversal of 131102001013 is 310100201131.

Together with next prime (131102001031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75414496689 + 55687504324 = 274617^2 + 235982^2 .

It is a cyclic number.

It is not a de Polignac number, because 131102001013 - 2¹ = 131102001011 is a prime.

It is a super-2 number, since 2×131102001013² (a number of 23 digits) contains 22 as substring.

Together with 131102001011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 131102000984 and 131102001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131102001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65551000506 + 65551000507.

It is an arithmetic number, because the mean of its divisors is an integer number (65551000507).

Almost surely, 2^131102001013 is an apocalyptic number.

It is an amenable number.

131102001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131102001013 is an equidigital number, since it uses as much as digits as its factorization.

131102001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131102001013 its reverse (310100201131), we get a palindrome (441202202144).

The spelling of 131102001013 in words is "one hundred thirty-one billion, one hundred two million, one thousand, thirteen".