1131303121311 has 64 divisors (see below), whose sum is σ = 1730882027520. Its totient is φ = 650962851840.

The previous prime is 1131303121261. The next prime is 1131303121363. The reversal of 1131303121311 is 1131213031311.

It is not a de Polignac number, because 1131303121311 - 2⁷ = 1131303121183 is a prime.

It is a super-2 number, since 2×1131303121311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131303221311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13692721 + ... + 13775093.

It is an arithmetic number, because the mean of its divisors is an integer number (27045031680).

Almost surely, 2^{1131303121311} is an apocalyptic number.

1131303121311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131303121311 is a deficient number, since it is larger than the sum of its proper divisors (599578906209).

1131303121311 is a wasteful number, since it uses less digits than its factorization.

1131303121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82656.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1131303121311 its reverse (1131213031311), we get a palindrome (2262516152622).

The spelling of 1131303121311 in words is "one trillion, one hundred thirty-one billion, three hundred three million, one hundred twenty-one thousand, three hundred eleven".