131011013 has 16 divisors (see below), whose sum is σ = 157866240. Its totient is φ = 106292736.

The previous prime is 131011003. The next prime is 131011019. The reversal of 131011013 is 310110131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131011013 - 2¹² = 131006917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131010985 and 131011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11423 + ... + 19811.

It is an arithmetic number, because the mean of its divisors is an integer number (9866640).

Almost surely, 2^131011013 is an apocalyptic number.

It is an amenable number.

131011013 is a deficient number, since it is larger than the sum of its proper divisors (26855227).

131011013 is an equidigital number, since it uses as much as digits as its factorization.

131011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 131011013 is about 11446.0042372874. The cubic root of 131011013 is about 507.8895395538.

Adding to 131011013 its reverse (310110131), we get a palindrome (441121144).

The spelling of 131011013 in words is "one hundred thirty-one million, eleven thousand, thirteen".