1013431311 has 8 divisors (see below), whose sum is σ = 1501379760. Its totient is φ = 675620856.

The previous prime is 1013431283. The next prime is 1013431339. The reversal of 1013431311 is 1131343101.

1013431311 is a `hidden beast` number, since 10 + 1 + 343 + 1 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (1013431283) and next prime (1013431339).

It is not a de Polignac number, because 1013431311 - 2⁹ = 1013430799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013431381) 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, 18767220 + ... + 18767273.

It is an arithmetic number, because the mean of its divisors is an integer number (187672470).

Almost surely, 2^1013431311 is an apocalyptic number.

1013431311 is a deficient number, since it is larger than the sum of its proper divisors (487948449).

1013431311 is an equidigital number, since it uses as much as digits as its factorization.

1013431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37534502 (or 37534496 counting only the distinct ones).

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

The square root of 1013431311 is about 31834.4359302941. The cubic root of 1013431311 is about 1004.4572074517.

Adding to 1013431311 its reverse (1131343101), we get a palindrome (2144774412).

The spelling of 1013431311 in words is "one billion, thirteen million, four hundred thirty-one thousand, three hundred eleven".