1013312311 has 16 divisors (see below), whose sum is σ = 1154684160. Its totient is φ = 880232320.

The previous prime is 1013312309. The next prime is 1013312317. The reversal of 1013312311 is 1132133101.

It is not a de Polignac number, because 1013312311 - 2¹ = 1013312309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391620 + ... + 394198.

It is an arithmetic number, because the mean of its divisors is an integer number (72167760).

Almost surely, 2^1013312311 is an apocalyptic number.

1013312311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013312311 is a deficient number, since it is larger than the sum of its proper divisors (141371849).

1013312311 is a wasteful number, since it uses less digits than its factorization.

1013312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1013312311 is about 31832.5668302134. The cubic root of 1013312311 is about 1004.4178905011.

Adding to 1013312311 its reverse (1132133101), we get a palindrome (2145445412).

The spelling of 1013312311 in words is "one billion, thirteen million, three hundred twelve thousand, three hundred eleven".