131020011 has 24 divisors (see below), whose sum is σ = 200840640. Its totient is φ = 85308552.

The previous prime is 131020007. The next prime is 131020013. The reversal of 131020011 is 110020131.

It is not a de Polignac number, because 131020011 - 2² = 131020007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131019975 and 131020002.

It is not an unprimeable number, because it can be changed into a prime (131020013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4180 + ... + 16718.

It is an arithmetic number, because the mean of its divisors is an integer number (8368360).

Almost surely, 2^131020011 is an apocalyptic number.

131020011 is a deficient number, since it is larger than the sum of its proper divisors (69820629).

131020011 is an equidigital number, since it uses as much as digits as its factorization.

131020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131020011 is about 11446.3972934719. The cubic root of 131020011 is about 507.9011667836.

Adding to 131020011 its reverse (110020131), we get a palindrome (241040142).

It can be divided in two parts, 1310 and 20011, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 131020011 in words is "one hundred thirty-one million, twenty thousand, eleven".