1013431313 has 8 divisors (see below), whose sum is σ = 1061520768. Its totient is φ = 965677504.

The previous prime is 1013431283. The next prime is 1013431339. The reversal of 1013431313 is 3131343101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013431313 - 2⁸ = 1013431057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013436313) 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, 77720 + ... + 89817.

It is an arithmetic number, because the mean of its divisors is an integer number (132690096).

Almost surely, 2^1013431313 is an apocalyptic number.

It is an amenable number.

1013431313 is a deficient number, since it is larger than the sum of its proper divisors (48089455).

1013431313 is a wasteful number, since it uses less digits than its factorization.

1013431313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167823.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1013431313 is about 31834.4359617066. The cubic root of 1013431313 is about 1004.4572081125.

Adding to 1013431313 its reverse (3131343101), we get a palindrome (4144774414).

The spelling of 1013431313 in words is "one billion, thirteen million, four hundred thirty-one thousand, three hundred thirteen".