13310001331 has 10 divisors (see below), whose sum is σ = 14640926660. Its totient is φ = 12099987900.

The previous prime is 13310001317. The next prime is 13310001359.

13310001331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13310001331 - 2²¹ = 13307904179 is a prime.

It is a super-2 number, since 2×13310001331² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13310001631) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 439905 + ... + 469186.

It is an arithmetic number, because the mean of its divisors is an integer number (1464092666).

Almost surely, 2^13310001331 is an apocalyptic number.

13310001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310001331 is a deficient number, since it is larger than the sum of its proper divisors (1330925329).

13310001331 is an frugal number, since it uses more digits than its factorization.

13310001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909135 (or 909102 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 1331000 and 1331, that multiplied together give a cube (1771561000 = 1210³).

The spelling of 13310001331 in words is "thirteen billion, three hundred ten million, one thousand, three hundred thirty-one".