1311101121 has 32 divisors (see below), whose sum is σ = 1975052160. Its totient is φ = 766771200.

The previous prime is 1311101119. The next prime is 1311101147. The reversal of 1311101121 is 1211011131.

It is not a de Polignac number, because 1311101121 - 2¹ = 1311101119 is a prime.

It is a super-2 number, since 2×1311101121² = 3437972298974913282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311101097 and 1311101106.

It is not an unprimeable number, because it can be changed into a prime (1311101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100545 + ... + 112833.

It is an arithmetic number, because the mean of its divisors is an integer number (61720380).

Almost surely, 2^1311101121 is an apocalyptic number.

1311101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311101121 is a deficient number, since it is larger than the sum of its proper divisors (663951039).

1311101121 is a wasteful number, since it uses less digits than its factorization.

1311101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417.

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1311101121 is about 36209.1303540972. The cubic root of 1311101121 is about 1094.4906678176.

Adding to 1311101121 its reverse (1211011131), we get a palindrome (2522112252).

It can be divided in two parts, 131110 and 1121, that added together give a palindrome (132231).

The spelling of 1311101121 in words is "one billion, three hundred eleven million, one hundred one thousand, one hundred twenty-one".