1311000101111 has 8 divisors (see below), whose sum is σ = 1317127355904. Its totient is φ = 1304885898360.

The previous prime is 1311000101083. The next prime is 1311000101141. The reversal of 1311000101111 is 1111010001131.

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-1311000101111 is a prime.

It is a super-2 number, since 2×1311000101111² (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 = 1311000101092 and 1311000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311000101141) 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, 3061625 + ... + 3463458.

It is an arithmetic number, because the mean of its divisors is an integer number (164640919488).

Almost surely, 2^{1311000101111} is an apocalyptic number.

1311000101111 is a deficient number, since it is larger than the sum of its proper divisors (6127254793).

1311000101111 is an equidigital number, since it uses as much as digits as its factorization.

1311000101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526021.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1311000101111 its reverse (1111010001131), we get a palindrome (2422010102242).

The spelling of 1311000101111 in words is "one trillion, three hundred eleven billion, one hundred one thousand, one hundred eleven".