1000131340311 has 8 divisors (see below), whose sum is σ = 1481676059760. Its totient is φ = 666754226856.

The previous prime is 1000131340289. The next prime is 1000131340333. The reversal of 1000131340311 is 1130431310001.

1000131340311 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 313 + 40 + 311 = 666.

1000131340311 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000131340289) and next prime (1000131340333).

It is not a de Polignac number, because 1000131340311 - 2¹⁷ = 1000131209239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000131340391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18520950720 + ... + 18520950773.

It is an arithmetic number, because the mean of its divisors is an integer number (185209507470).

Almost surely, 2^{1000131340311} is an apocalyptic number.

1000131340311 is a deficient number, since it is larger than the sum of its proper divisors (481544719449).

1000131340311 is an equidigital number, since it uses as much as digits as its factorization.

1000131340311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37041901502 (or 37041901496 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1000131340311 its reverse (1130431310001), we get a palindrome (2130562650312).

The spelling of 1000131340311 in words is "one trillion, one hundred thirty-one million, three hundred forty thousand, three hundred eleven".