1331111313131 has 8 divisors (see below), whose sum is σ = 1340275356864. Its totient is φ = 1321964163520.

The previous prime is 1331111313113. The next prime is 1331111313151. The reversal of 1331111313131 is 1313131111331.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1331111313131 is a prime.

It is a super-2 number, since 2×1331111313131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331111313097 and 1331111313106.

It is not an unprimeable number, because it can be changed into a prime (1331111313151) 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, 4065386 + ... + 4380591.

It is an arithmetic number, because the mean of its divisors is an integer number (167534419608).

Almost surely, 2^{1331111313131} is an apocalyptic number.

1331111313131 is a deficient number, since it is larger than the sum of its proper divisors (9164043733).

1331111313131 is an equidigital number, since it uses as much as digits as its factorization.

1331111313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447061.

The product of its digits is 243, while the sum is 23.

Adding to 1331111313131 its reverse (1313131111331), we get a palindrome (2644242424462).

The spelling of 1331111313131 in words is "one trillion, three hundred thirty-one billion, one hundred eleven million, three hundred thirteen thousand, one hundred thirty-one".